First slide

Vectors

Question

Unit vector parallel to the resultant of vector $8 \hat{i}$ arid $8 \hat{j}$ will be

Moderate

A

$(24 \hat{i} + 5 \hat{j}) / 13$
B

$(12 \hat{i} + 5 \hat{j}) / 13$
C

$(6 \hat{i} + 5 \hat{j}) / 13$
D

None of these

Solution

Resultant of two given vectors will be
$\sqrt{(8)^{2} + (8)^{2}} = 8 \sqrt{2}$
$∴$ Unit vector parallel to the given vectors will be, $\frac{\hat{i} + \hat{j}}{\sqrt{2}}$

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