First slide

Vectors

Question

The angles which the vector $A = 3 \hat{i} + 6 \hat{j} + 2 \hat{k}$ makes with the coordinate axes are

Moderate

A

$\cos^{- 1} (\frac{3}{7}), \cos^{- 1} (\frac{6}{7}) and \cos^{- 1} (\frac{2}{7})$
B

$\cos^{- 1} (\frac{4}{7}), \cos^{- 1} (\frac{5}{7}) and \cos^{- 1} (\frac{3}{7})$
C

$\cos^{- 1} (\frac{3}{7}), \cos^{- 1} (\frac{4}{7}) and \cos^{- 1} (\frac{1}{7})$
D

None of the above

Solution

Magnitude of vector, $| A | = \sqrt{(3)^{2} + (6)^{2} + (2)^{2}} = 7$
$α = \cos^{- 1} (\frac{3}{7}), β = \cos^{- 1} (\frac{6}{7}), γ = \cos^{- 1} (\frac{2}{7})$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App