The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of resultant of the vectors when they act perpendicular to each other is:

(A)  14

(B)  16

(C)  18

(D)  13

Concept Questions :-

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

Difficulty Level:

A vector $\stackrel{\to }{\mathrm{A}}$ makes an angle of $20°$ and $\stackrel{\to }{\mathrm{B}}$ makes an angle of $110°$ with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the magnitude of the resultant.

(A)  $1$

(B)  $5\sqrt{2}$

(C)  $5$

(D)  $7$

Concept Questions :-

Resultant of Vectors

Difficulty Level:

A particle is moving westward with a velocity  Its velocity changed to ${\stackrel{\to }{\mathrm{v}}}_{2}=5\mathrm{m}/\mathrm{s}$ northward. The change in velocity vector $\left(∆\stackrel{\to }{\mathrm{V}}={\stackrel{\to }{\mathrm{v}}}_{2}-{\stackrel{\to }{\mathrm{v}}}_{1}\right)$ is:

(A)   towards north east

(B)   towards north west

(C)  zero

(D)  towards north west

Concept Questions :-

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

Difficulty Level:

Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors

Difficulty Level:

A force $\stackrel{\to }{\mathrm{F}}=6\stackrel{^}{\mathrm{i}}-8\stackrel{^}{\mathrm{j}}+10\stackrel{^}{\mathrm{k}}$ Newton produces acceleration  in a body. The mass of the body is (in kg)

(A)  $6\stackrel{^}{\mathrm{i}}-8\stackrel{^}{\mathrm{j}}+10\stackrel{^}{\mathrm{k}}$

(B)  $100$

(C)  $10\sqrt{2}$

(D)  $10$

Concept Questions :-

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

Difficulty Level:

angle between $\stackrel{\to }{\mathrm{A}}$ and $\stackrel{\to }{\mathrm{B}}$ is

(A)  $120°$

(B)  $90°$

(C)  $60°$

(D)  $30°$

Concept Questions :-

Scalar Product

Difficulty Level:

Given the vectors

Find the angle between

(A)  $\mathrm{\theta }={\mathrm{cos}}^{-1}\left(\frac{2}{\sqrt{3}}\right)$

(B)  $\mathrm{\theta }={\mathrm{cos}}^{-1}\left(\frac{\sqrt{3}}{2}\right)$

(C)  $\mathrm{\theta }={\mathrm{cos}}^{-1}\left(\frac{\sqrt{2}}{3}\right)$

(D)  none of these

Concept Questions :-

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

Difficulty Level:

If vector  and $\stackrel{\to }{\mathrm{R}}$ have magnitude 5, 12 and 13 units and $\stackrel{\to }{\mathrm{P}}+\stackrel{\to }{\mathrm{Q}}=\stackrel{\to }{\mathrm{R}}$ the angle between $\stackrel{\to }{\mathrm{Q}}$ and $\stackrel{\to }{\mathrm{R}}$ is -

(A)

(B)

(C)

(D)

Concept Questions :-

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

Difficulty Level:

The vector having a magnitude of 10 and perpendicular to the vector $3\stackrel{^}{\mathrm{i}}-4\stackrel{^}{\mathrm{j}}$ is

1. $4\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$

2.

3. $8\stackrel{^}{\mathrm{i}}+6\stackrel{^}{\mathrm{j}}$

4.  $8\stackrel{^}{\mathrm{i}}-6\stackrel{^}{\mathrm{j}}$

Concept Questions :-

Scalar Product

Difficulty Level:

A force $\stackrel{\to }{\mathrm{F}}=3\stackrel{^}{\mathrm{i}}+\mathrm{c}\stackrel{^}{\mathrm{j}}+2\stackrel{^}{\mathrm{k}}$ acting on a particle causes a displacement $\stackrel{\to }{\mathrm{d}}=-4\stackrel{^}{\mathrm{i}}+2\stackrel{^}{\mathrm{j}}+3\stackrel{^}{\mathrm{k}}$. If the work done is 6J then the value of 'c' is

(A)  12

(B)  0

(C)  6

(D)  1

Concept Questions :-

Scalar Product