A vector that is perpendicular to both the vectors a=i^-2j^+k^ and b=i^-j^+k^ is

(A)  -i^+k^

(B)  -i^-2j^+k^

(C)  i^-2j^+k^

(D)  i^+k^

Concept Questions :-

Scalar Product
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


If θ is the angle between vectors a and b, and |a×b|=a.b, then θ is equal to

(A)  0°

(B)  180°

(C)  135°

(D)  45°

Concept Questions :-

Vector Product
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


The vector b, which is collinear with the vector a=(2, 1, -1) and satisfies the condition a.b=3, is 

(A)  (1, 1/2, -1/2)

(B)  (2/3, 1/3, -1/3)

(C)  (1/2, 1/4, -1/4)

(D)  (1, 1, 0)

Concept Questions :-

Scalar Product
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


If 3i^+2j^+8k^ and 2i^+xj^+k^ are at right angle then x=

(A)  7

(B)  -7

(C)  5

(D)  -4

Concept Questions :-

Scalar Product
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


If a, b, c are three non-zero vectors such that a+b+c=0 the value of a.b+b.c+c.a is

(A)  Less than zero

(B)  equal to zero

(C)  greater than zero

(D)  3

Concept Questions :-

Scalar Product
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


Let α, β, γ be distinct real numbers. The points with position vectors αi^+βj^+γk^ , βi^+γj^+αk^ , γi^+αj^+βk^

(A)  are collinear

(B)  from an equilateral triangle

(C) form an isosceles triangle

(D)  from a right angled triangle

Concept Questions :-

Resultant of Vectors
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


Two vectors a and b inclined at an angle θ w.r.t. each other have a resultant c which makes an angle β with a. If the directions of a and b are interchanged, then the resultant will have the same

(A)  magnitude

(B)  direction

(C)  magnitude as well as direction

(D)  neither magnitude nor direction

To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


Two vectors A and B lie in a plane. Another vector C lies outside this plane. The resultant A+B+C of these three vectors

(A)  can be zero

(B)  cannot be zero

(C)  lies in the plane of A &B

(D)  lies in the plane of A & A+B

Concept Questions :-

Resultant of Vectors
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


The vector sum of the forces of 10 N and 6 N can be

(A)  2 N

(B)  8 N

(C)  18 N

(D)  20 N

Concept Questions :-

Resultant of Vectors
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


A set of vectors taken in a given order gives a closed polygon. Then the resultant of these vectors is a 

(A)  scalar quantity

(B)  pseudovector

(C)  unit vector

(D)  null vector

Concept Questions :-

Resultant of Vectors
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level: