NEET PhysicsUpdated 19 Oct 2026

Basic Maths and Vectors: NEET PYQs and weightage

Basic Maths and Vectors carries 2.2 of 100 Physics marks in NEET by past-paper share: 17 of the 758 tagged NEET Physics PYQs in the ViJEEta bank (NEET 2013–2026). It ranks 26 of 30 Physics chapters.

Take the 25-question Basic Maths and Vectors test Formula sheet ↓All NEET Physics chapters

2.2/100 Weight in Physics

Exam importance (2/5, by past-paper share)

17 NEET PYQs

226 Practice questions

209 With measured difficulty

How the weight is computed: this chapter's tagged NEET PYQs divided by all tagged NEET Physics PYQs in the bank (17 of 758), times 100, with repeated questions counted once. The bank does not store the year of each NEET question, so none is printed. Computed from the bank at build time. Updated 19 Oct 2026.

Basic Maths and Vectors: formula sheet for NEET

14 formulas, each with when to use it. Copy it onto one page of your notebook: that page is this chapter's handbook.

Scalar (dot) product
$A \cdot B = A B cos φ$
Use it when: you know both magnitudes and the angle $φ$ between the vectors
Dot product from components
$A \cdot B = A_{x} B_{x} + A_{y} B_{y} + A_{z} B_{z}$
Use it when: the vectors are given in $\hat{i}, \hat{j}, \hat{k}$ form
Perpendicular test
$A \cdot B = 0 (when φ = 9 0^{\circ})$
$A \cdot B = B \cdot A$
Use it when: checking whether two vectors are at right angles
Work done by a force
$W = F \cdot s = F s cos φ$
Use it when: a constant force $F$ acts over a displacement $s$
Vector (cross) product magnitude
$∣ A \times B ∣ = A B sin φ$
Use it when: you need the size of the cross product from magnitudes and angle
Cross product direction
$A \times B$ is perpendicular to the plane of $A$ and $B$ (right-hand rule).
Use it when: a question asks which way $A \times B$ points
Cross product from components
$C_{x} = A_{y} B_{z} - A_{z} B_{y}$
$C_{y} = A_{z} B_{x} - A_{x} B_{z}$
$C_{z} = A_{x} B_{y} - A_{y} B_{x}$
Use it when: $A$ and $B$ are given in $\hat{i}, \hat{j}, \hat{k}$ form and you need $C = A \times B$
Order matters
$A \times B = - B \times A$
Use it when: you swap the order of the two vectors, which flips the sign
Parallel test
$A \times B = 0 (when φ = 0^{\circ} or 18 0^{\circ})$
Use it when: checking whether two vectors are parallel or antiparallel
Unit vector form
$A = A_{x} \hat{i} + A_{y} \hat{j} + A_{z} \hat{k} (\hat{i}, \hat{j}, \hat{k} have magnitude 1 and no units)$
Use it when: writing any vector along the $x$ , $y$ , $z$ axes
Adding by components
$R_{x} = A_{x} + B_{x}$
$R_{y} = A_{y} + B_{y}$
$R_{z} = A_{z} + B_{z} (for R = A + B)$
Use it when: adding two or more vectors at any angles
Negative of a vector
$- A$ has the same magnitude as $A$ and points the opposite way.
Use it when: subtracting, since $A - B = A + (- B)$
Dimensional consistency
Two terms can be added only if they have the same units.
Use it when: checking whether a formula can possibly be right
Significant figures
$123.62 + 8.9 = 132.5 (keep the fewest decimal places)$
$\frac{C}{2 r} = \frac{0.424 m}{0.1350 m} = 3.14 (keep the fewest significant figures)$
Use it when: rounding the final answer of an addition or a division

Trap

φ in AB cosφ and AB sinφ is the angle between the two vectors placed tail to tail, not whatever angle the figure happens to show (for example the slope of a roof). Draw the sketch and find the right angle first. A component can never be larger than the vector itself.

How does NEET ask Basic Maths and Vectors?

8 real previous-year questions from this chapter, as printed in the paper, each with its worked solution. Answer the first one here with no sign-in.

Q1PhysicsNEET UG PYQMiscellaneous Examples

Try right here · No sign-in

The slope of Arrhenius plot (lnk v/s 1/T) of first order reaction is -5 ⨉ 10

^{3}

K. The value of E

_{a}

of the reaction is. Choose the correct option for your answer. [Given R = 8.314 JK

^{- 1}

mol

^{- 1}

]

Answer key (C) & worked solution

Correct answer: Option C

The logarithmic form of Arrhenius equation is

ln k = - \frac{E _{a}}{R T} + ln A

Slope = –E

_{a}

/R ⇒ E

_{a}

= –(slope)R E

_{a}

= 5 × 10

^{3}

× 8.314 =41.57 × 10

^{3}

Q2PhysicsNEET UG PYQMiscellaneous Examples

The compound which shows metamerism is

_{3}

_{6}

_{4}

_{10}

_{5}

_{12}

_{3}

_{8}

Answer key (B) & worked solution

Correct answer: Option B

Metamers are the isomers having the same molecular formula but different alkyl groups on two sides of functional groups. CH

_{3}

–CH

_{2}

–CH

_{2}

–O–CH

_{3}

, CH

_{3}

–CH

_{2}

–O–CH

_{2}

–CH

_{3}

Q3PhysicsNEET UG PYQMiscellaneous Examples

Which one of the following methods can be used to obtain highly pure metal which is liquid at room temperature?

ADistillation

BZone refining

CElectrolysis

DChromatography

Answer key (A) & worked solution

Correct answer: Option A

Distillation: This is very useful for low boiling metals like zinc and mercury. The impure metal is evaporated to obtain the pure metal as distillate.

Q4PhysicsNEET UG PYQMiscellaneous Examples

Dihedral angle of least stable conformer of ethane is

A60

^{o}

^{o}

C120

^{o}

D180

^{o}

Answer key (B) & worked solution

Correct answer: Option B

In this position, the dihedral angle ( also called the angle of rotation or the angle of torsion or torsional angle) is zero degree.

Q5PhysicsNEET UG PYQMiscellaneous Examples

The RBC deficiency is deficiency disease of

AVitamin B

_{1}

BVitamin B

_{2}

CVitamin B

_{12}

DVitamin B

_{6}

Answer key (C) & worked solution

Correct answer: Option C

Vitamin B

_{12}

: Deficiency disease - Pernicious anaemia (RBC deficient in haemoglobin)

Q6PhysicsNEET UG PYQMiscellaneous Examples

The following solutions were prepared by dissolving 10 g glucose (C

_{6}

_{12}

_{6}

) in 250 ml of water (P

_{1}

) 10 g of urea (CH

_{4}

_{2}

O) in 250 ml of water (P

_{2}

) and 10 g of sucrose (C

_{12}

_{12}

_{11}

) in 250 ml of water (P

_{3}

). The right option for the decreasing order of osmotic pressure of these solutions is.

_{2}

> P

_{3}

> P

_{1}

_{3}

> P

_{1}

> P

_{2}

_{2}

> P

_{1}

> P

_{3}

_{1}

> P

_{2}

> P

_{3}

Answer key (C) & worked solution

Correct answer: Option C

Π = wRT/MV Here, all the given solutions have the same volume and mass of solute. Thus, the osmotic pressure will decrease with increase in molar mass of solute. Thus, the order should be: P

_{2}

> P

_{1}

> P

_{3}

Q7PhysicsNEET UG PYQMiscellaneous Examples

Given below are two statements: Statement I: Aspirin and Paracetamol belong to the class of narcotic analgesics. Statement II: Morphine and Heroin are non-narcotic analgesics. In the light of the above statements, choose the correct answer from the options given below.

AStatement I is correct, but Statement II is false

BStatement I is incorrect, but Statement II is true

CBoth Statement I and Statement II are true

DBoth Statement I and Statement II are false

Answer key (D) & worked solution

Correct answer: Option D

Aspirin and Paracetamol belong to the class of non-narcotic analgesics. Morphine and Heroin are narcotic analgesics.

Q8PhysicsNEET UG PYQMiscellaneous Examples

Among the following alkaline earth metal halides, one which is covalent and soluble in organic solvents is:

AMagnesium chloride

BBeryllium chloride

CCalcium chloride

DStrontium chloride

Answer key (B) & worked solution

Correct answer: Option B

Beryllium halides are essentially covalent and soluble in organic solvents.

Which topics in Basic Maths and Vectors carry the most questions?

All 9 topics, by tagged PYQs, then practice questions. Counted from the bank. Updated 19 Oct 2026.

Topic	PYQs	Practice questions
Miscellaneous Examples	15	11
Vector Addition	1	49
Differentiation	1	22
Multiplication of Vectors	0	43
Basics of Vectors	0	39
Integration	0	19
Graphs	0	17
Components of Vectors	0	14
Trigonometry	0	12

Why does Basic Maths and Vectors show "–" until you answer 3 questions?

Unknown is not zero. Until you answer at least 3 graded questions in Basic Maths and Vectors, ViJEEta shows – instead of a zero or a 50% default. Book exercises can raise chapter mastery up to 0.60, adaptive practice up to 0.75, and only a timed chapter test or mock can certify 0.80 and above.

How ViJEEta scores you

What happens when you test Basic Maths and Vectors?

Every chapter test is 25 questions. It starts at moderate difficulty and adapts after each saved answer. If you open a solution before answering, that attempt earns no credit, so your mastery stays honest.

Start the Basic Maths and Vectors test

Chapters either side of Basic Maths and Vectors by weight

Motion in a Plane Weight 2.4/100 Thermal Properties of Matter Weight 2.4/100 Magnetism and Matter Weight 1.7/100 Mechanical Properties of Solids Weight 1.6/100

Basic Maths and Vectors: NEET PYQs and weightage

Basic Maths and Vectors: formula sheet for NEET

Scalar (dot) product

Dot product from components

Perpendicular test

Work done by a force

Vector (cross) product magnitude

Cross product direction

Cross product from components

Order matters

Parallel test

Unit vector form

Adding by components

Negative of a vector

Dimensional consistency

Significant figures

How does NEET ask Basic Maths and Vectors?

Which topics in Basic Maths and Vectors carry the most questions?

Why does Basic Maths and Vectors show "–" until you answer 3 questions?

What happens when you test Basic Maths and Vectors?

Chapters either side of Basic Maths and Vectors by weight