First slide

Vectors

Question

A unit vector is represented by $0.5 \overset{\land}{i} + 0.8 \overset{\land}{j} + c \overset{\land}{k}$ ,then the value of c is

Easy

A

$1$
B

$\sqrt{0.11}$
C

$\sqrt{0.01}$
D

$\sqrt{0.39}$

Solution

$Magnitude of unit vector is always equal to 1 i.e. | \hat{A} | = 1 ∴ \sqrt{(0.5)^{2} + (0.8)^{2} + c^{2}} = 1 ⟹ c = \sqrt{0.11}$

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