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Question: Given :\(0.3\widehat{i} + 0.4\widehat{j} + n\widehat{k}\) is a unit vector. The value of n is –...

Given :0.3i^+0.4j^+nk^0.3\widehat{i} + 0.4\widehat{j} + n\widehat{k} is a unit vector. The value of n is –

A

(a)0.25\sqrt{0.25}

A

(b)0.50\sqrt{0.50}

A

(c)0.75\sqrt{0.75}

A

(d)0.80\sqrt{0.80}

Explanation

Solution

(c)

A→\overrightarrow{A} = 0.3i^+0.4j^+nk^0.3\widehat{i} + 0.4\widehat{j} + n\widehat{k}

A→\overrightarrow{A} = (0.3)2+(0.4)2+n2\sqrt{(0.3)^{2} + (0.4)^{2} + n^{2}} = 1