The value of unit vector in the direction of vector , is -

(A)  $\stackrel{^}{\mathrm{i}}$

(B)  $\stackrel{^}{\mathrm{j}}$

(C)  $\left(\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}\right)/13$

(D)

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A child pulls a box with a force of  at an angle of $60°$above the horizontal. Then the horizontal and vertical components of the force are -

(A)  100 N, 175 N

(B)  86.6 N, 100 N

(C)  100 N, 86.6 N

(D)  100 N, 0 N

Concept Questions :-

Resolution of vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A man rows a boat with a speed of  in northwest direction. The shoreline makes an angle of $15°$ south of west. Obtain the component of the velocity of the boat along the shoreline.

(A)

(B)

(C)

(D)

Concept Questions :-

Resolution of vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:

(A)  $5\left(\stackrel{^}{\mathrm{i}}-2\stackrel{^}{\mathrm{j}}\right)$

(B)  $5\left(4\stackrel{^}{\mathrm{i}}+2\stackrel{^}{\mathrm{j}}\right)$

(C)  $0.6\stackrel{^}{\mathrm{i}}+0.8\stackrel{^}{\mathrm{j}}$

(D)  $6\stackrel{^}{\mathrm{i}}+8\stackrel{^}{\mathrm{j}}$

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the following is perpendicular to $\stackrel{^}{\mathrm{i}}-\stackrel{^}{\mathrm{j}}-\stackrel{^}{\mathrm{k}}$ ?

(A)  $\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$

(B)  $-\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$

(C)  $\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}-\stackrel{^}{\mathrm{k}}$

(D)  None of these

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the angle between the unit vectors $\stackrel{^}{\mathrm{a}}$ and $\stackrel{^}{\mathrm{b}}$ is $60°$, then $|\stackrel{^}{\mathrm{a}}-\stackrel{^}{\mathrm{b}}|$ is :

(A)  0

(B)  1

(C)  2

(D)  4

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

For the figure -

1.  A+B=C

2.  B+C=A

3.  C+A=B

4.  A+B+C=0

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two constant forces  and  act on a body and displace it from the position  to the position . What is the work done?

(A)  9 Joule

(B)  41 Joule

(C)  -3 Joule

(D)  None of these

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The two vectors $\mathrm{A}=2\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}+3\stackrel{^}{\mathrm{k}}$ and $\mathrm{B}=7\stackrel{^}{\mathrm{i}}-5\stackrel{^}{\mathrm{j}}-3\stackrel{^}{\mathrm{k}}$ are -

1.  parallel

2.  perpendicular

3.  anti-parallel

4.  None of these

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two vectors $\mathrm{P}=2\stackrel{^}{\mathrm{i}}+\mathrm{b}\stackrel{^}{\mathrm{j}}+2\stackrel{^}{\mathrm{k}}$ and $\mathrm{Q}=\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$ will be perpendicular if -

(A)  b=0

(B)  b=1

(C)  b=2

(D)  b=-4

Concept Questions :-

Scalar Product