﻿ IIT - JEE Main Important Questions of Vector Algebra | Zigya

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# Vector Algebra

#### Multiple Choice Questions

1.

If are non -coplanar vector λ is a real number then • exactly one value of λ

• no value of λ

• exactly three values of λ

• exactly two values of λ

B.

no value of λ 261 Views

2.

Let be three non-zero vectors such that no two of these are collinear. If the vector is collinear with is collinear with (λ being some non-zero scalar) then equals

• λ • λ • λ • 0

D.

0 147 Views

3.

A particle is acted upon by constant forces which displace it from a point The work done in standard units by the forces is given by

• 40

• 30

• 25

• 15

A.

40 116 Views

4.

Let be non-zero vectors such that If θ is the acute angle between the vectors then sin θ equals

• 1/3

• • 2/3

• D.  118 Views

5.

ABC is a triangle. Forces acting along IA, IB and IC respectively are in equilibrium, where I is incentre of ∆ABC. Then P : Q : R is

• sin A : sin B : sin C

• • • cosA : cosB : cosC

C. Using Lami’s Theorem  201 Views

6. are non-coplanar vectors and λ is a real number, then the vectors are non-coplanar for
• all values of λ

• all except one value of λ

• all except two values of λ

• no value of λ

C.

all except two values of λ

Condition for given three vectors to be coplanar is =0
⇒ λ = 0, 1/2.
Hence given vectors will be non coplanar for all real values of λ except 0, 1/2.

141 Views

7.

If C is the mid -point of AB and P is any point outside AB, then

• • • • A.   129 Views

8.

For any vector the value of is equal to

• • • • C.  119 Views

9.

Let a, b and c be distinct non-negative numbers. If the vectors • the Geometric Mean of a and b

• the Arithmetic Mean of a and b

• equal to zero

• the Harmonic Mean of a and b

A.

the Geometric Mean of a and b 117 Views

10.

Let be such that If the projection is equal to that of are perpendicular to each other then equals

• 2

• • • 12

B.  118 Views