NEET Practice Questions - Physics - Mathematical Tools

Six vector $\overrightarrow{a} through \overrightarrow{f}$ have the directions indicated in the figure.Which of the following statements may be true?

(a) $\overrightarrow{b}+\overrightarrow{c}=\overrightarrow{-f}$                        (b) $\overrightarrow{d}+\overrightarrow{c}=\overrightarrow{f}$

(c) $\overrightarrow{d}+\overrightarrow{e}=\overrightarrow{f}$                        (d) $\overrightarrow{b}+\overrightarrow{e}=\overrightarrow{f}$

In the given figure

(A)  Angle between $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ is $110°$

(B)  Angle between $\overrightarrow{\mathrm{C}}$ and $\overrightarrow{\mathrm{D}}$ is $60°$

(C)  Angle between $\overrightarrow{\mathrm{B}}$ and $\overrightarrow{\mathrm{C}}$ is $110°$

(D)  Angle between $\overrightarrow{\mathrm{B}}$ and $\overrightarrow{\mathrm{C}}$ is $70°$

A force of 6 kg and another of 8 kg can be applied together to produce the effect of a single force of -

(A)  1 N

(B)  11 N

(C)  15 N

(D)  20 N

Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

(A)  2, 4, 8

(B)  4, 8, 16

(C)  1, 2, 1

(D)  0.5, 1, 2

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by $90°.$ After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

(A)  $320 \mathrm{m}$

(B)  $32 \mathrm{m}$

(C)  $16/\sqrt{2} \mathrm{m}$

(D)  $16\sqrt{2} \mathrm{m}$

The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is -

(A)  $120°$

(B)  $150°$

(C)  $135°$

(D)  None of these