SATHEE: Kinematics Question 151

Kinematics Question 151

Question: Unit vector parallel to the resultant of vectors $\vec{A} = 4 \hat{i} - 3 \hat{j}$ and $\vec{B} = 8 \hat{i} + 8 \hat{j}$ will be [BHU 1995]

Options:

A) $\frac{24 \hat{i} + 5 \hat{j}}{13}$

B) $\frac{12 \hat{i} + 5 \hat{j}}{13}$

C) $\frac{6 \hat{i} + 5 \hat{j}}{13}$

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Resultant of vectors $\vec{A}$ and $\vec{B}$

$\vec{R} = \vec{A} + \vec{B} = 4 \hat{i} - 3 \hat{j} + 8 \hat{i} + 8 \hat{j}$

$= 12 \hat{i} + 5 \hat{j}$

$\hat{R} = \frac{\vec{R}}{| R |} = \frac{12 \hat{i} + 5 \hat{j}}{\sqrt{{(12)}^{2} + {(5)}^{2}}}$

$= \frac{12 \hat{i} + 5 \hat{j}}{13}$

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Kinematics Question 151

Question: Unit vector parallel to the resultant of vectors A→=4i^−3j^ and B→=8i^+8j^ will be [BHU 1995]

Options:

Answer:

Solution:

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Question: Unit vector parallel to the resultant of vectors $\vec{A} = 4 \hat{i} - 3 \hat{j}$ and $\vec{B} = 8 \hat{i} + 8 \hat{j}$ will be [BHU 1995]