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Question

Physics Question on Motion in a plane

If a unit vector is represented by 0.5i^−0.8j^+ck^ 0.5 \widehat{ i} - 0 . 8 \widehat{j} + c \widehat{k} then the value of c is

A

0.01 \sqrt{ 0 . 0 1}

B

0.11 \sqrt{ 0 . 11}

C

1

D

0.39 \sqrt{ 0 . 39}

Answer

0.11 \sqrt{ 0 . 11}

Explanation

Solution

For a unit vector n^ \hat{n}, ∣n^∣=1| \hat{n} | = 1
∣0.5i^−0.8j^+ck^∣2=12⇒0.25+0.64+c2=1|0.5 \hat{i} - 0.8 \widehat{j} + c \hat{k} |^2 = 1^2 \Rightarrow 0.25 + 0 .64 + c^2 = 1
or c = 0.11 \sqrt{ 0.11}