First slide

Vectors

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

Easy

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

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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