# Solved papers for NEET Physics Vectors NEET PYQ-Vectors

### done NEET PYQ-Vectors Total Questions - 13

• question_answer1) If a unit vector is represented by $0.5\hat{i}+0.8\hat{j}+c\hat{k}$ the value of c is:                      [AIPMT 1999]

A)
1

B)
$\sqrt{0.11}$

C)
$\sqrt{0.01}$

D)
0.39

• question_answer2) If $\vec{A}$ and $\vec{B}$ are two vectors such that$|\vec{A}+\vec{B}|\,=\,|\vec{A}-\vec{B}|,$ the angle between vectors $\vec{A}$ and $\vec{B}$ is: [AIPMT 2001]

A)
${{0}^{o}}$

B)
${{60}^{o}}$

C)
${{90}^{o}}$

D)
${{120}^{o}}$

• question_answer3) The vector sum of two forces is perpendicular to their vector differences. In that case, the forces: [AIPMT 2003]

A)
are not equal to each other in magnitude

B)
cannot be predicted

C)
are equal to each other

D)
are equal to each other in magnitude

• question_answer4) If $|\overset{\to }{\mathop{A}}\,\,\,\,\times \overset{\to }{\mathop{B}}\,|\,=\sqrt{3}\overset{\to }{\mathop{A\,}}\,.\overset{\to }{\mathop{B\,}}\,,$ then the value of $\left| \text{A}+\text{B} \right|$ is:                                [AIPMT (S) 2004]

A)
${{({{A}^{2}}+{{B}^{2}}+AB)}^{1/2}}$

B)
${{\left( {{A}^{2}}+{{B}^{2}}+\frac{AB}{\sqrt{3}} \right)}^{1/2}}$

C)
$A+B$

D)
${{({{A}^{2}}+{{B}^{2}}+\sqrt{3}AB)}^{1/2}}$

• question_answer5) If a vector $2\hat{i}+3\hat{j}+8\hat{k}$ is perpendicular to the vector $4\hat{j}-4\hat{i}+\alpha \hat{k},$ then the value of a is: [AIPMT (S) 2005]

A)
-1

B)
$\frac{1}{2}$

C)
$-\frac{1}{2}$

D)
1

• question_answer6) If the angle between the vectors $\vec{A}$ and $\vec{B}$ is $\theta ,$ the value of the product $(\vec{B}\times \vec{A}).\vec{A}$ is equal to: [AIPMT (S) 2005]

A)
$B{{A}^{2}}\cos \theta$

B)
$B{{A}^{2}}\sin \theta$

C)
$B{{A}^{2}}\sin \theta \cos \theta$

D)
zero

• question_answer7)  The vectors $\vec{A}$ and $\vec{B}$ are such that a: $\left| \vec{A}+\vec{B} \right|=\left| \vec{A}-\vec{B} \right|$ The angle between the two vectors is: [AIPMT (S) 2006]

A)
${{90}^{o}}$

B)
${{60}^{o}}$

C)
${{75}^{o}}$

D)
${{45}^{o}}$

• question_answer8) $\vec{A}$ and $\vec{B}$ are two vectors and $\theta$ is the angle between them, if $|\vec{A}\times \vec{B}|=\sqrt{3}\,(\vec{A}\,\centerdot \,\vec{B})$ the value of $\theta$ is:                                      [AIPMT (S) 2007]

A)
${{60}^{o}}$

B)
${{45}^{o}}$

C)
${{30}^{o}}$

D)
${{90}^{o}}$

• question_answer9)  Six vectors $\overset{\to }{\mathop{\mathbf{a}}}\,$ through $\overset{\to }{\mathop{\mathbf{f}}}\,$ have the magnitudes and directions indicated in the figure. Which of the following statements is true? [AIPMT (S) 2010]

A)
$\overset{\to }{\mathop{\mathbf{b}}}\,\,+\overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,$

B)
$\overset{\to }{\mathop{\mathbf{d}}}\,\,+\overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,$

C)
$\overset{\to }{\mathop{\mathbf{d}}}\,\,+\overset{\to }{\mathop{\mathbf{e}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,$

D)
$\overset{\to }{\mathop{\mathbf{b}}}\,\,+\overset{\to }{\mathop{\mathbf{e}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,$

• question_answer10) If vectors $A=\cos \omega t+\hat{i}+\sin \omega t\,\hat{j}$ and$B=\cos \frac{\omega t}{2}\hat{i}+\sin \frac{\omega t}{2}\hat{j}$ are functions of time, then the value of t at which they are orthogonal to each other                                [NEET 2015 (Re)]

A)
$t=\frac{\pi }{4\omega }$

B)
$t=\frac{\pi }{2\omega }$

C)
$t=\frac{\pi }{\omega }$

D)
$t=0$

• question_answer11) Two particles A and B, move with constant velocities ${{v}_{1}}$ and ${{v}_{2}}$. At the initial moment, their position vectors are ${{r}_{1}}$ and ${{r}_{2}}$ respectively. The condition for particles A and B for their collision is   [NEET 2015 (Re)]

A)
$\frac{{{r}_{1}}-{{r}_{2}}}{\left| {{r}_{1}}-{{r}_{2}} \right|}=\frac{{{v}_{2}}-{{v}_{1}}}{\left| {{v}_{3}}-{{v}_{1}} \right|}$

B)
${{r}_{1}}\cdot {{v}_{1}}={{r}_{2}}\cdot {{v}_{2}}$

C)
${{r}_{1}}\times {{v}_{1}}={{r}_{2}}\times {{v}_{2}}$

D)
${{r}_{1}}-{{r}_{2}}={{v}_{1}}-{{v}_{2}}$

• question_answer12) If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is       [NEET - 2016]

A)
${{0}^{o}}$

B)
${{90}^{o}}$

C)
${{45}^{o}}$

D)
${{180}^{o}}$

• question_answer13) A gas mixture consists of 2 moles of ${{O}_{2}}$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is                                  [NEET-2017]

A)
$11\,\,RT$

B)
$4\,RT$

C)
$15\,RT$

D)
$9\,RT$