SATHEE: Kinematics Question 130

Kinematics Question 130

Question: The vector that must be added to the vector $\hat{i} - 3 \hat{j} + 2 \hat{k}$ and $3 \hat{i} + 6 \hat{j} - 7 \hat{k}$ so that the resultant vector is a unit vector along the y-axis is

Options:

A) $4 \hat{i} + 2 \hat{j} + 5 \hat{k}$

B) $- 4 \hat{i} - 2 \hat{j} + 5 \hat{k}$

C) $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$

D) Null vector

Show Answer

Answer:

Correct Answer: B

Solution:

Unit vector along y axis $= \hat{j}$

so the required vector $= \hat{j} - [(\hat{i} - 3 \hat{j} + 2 \hat{k}) + (3 \hat{i} + 6 \hat{j} - 7 \hat{k})]$

$= - 4 \hat{i} - 2 \hat{j} + 5 \hat{k}$

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Kinematics Question 130

Question: The vector that must be added to the vector i^−3j^+2k^ and 3i^+6j^−7k^ so that the resultant vector is a unit vector along the y­­-axis is

Options:

Answer:

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Question: The vector that must be added to the vector $\hat{i} - 3 \hat{j} + 2 \hat{k}$ and $3 \hat{i} + 6 \hat{j} - 7 \hat{k}$ so that the resultant vector is a unit vector along the y-axis is