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Question: If a unit vector is represented by \(0.5\widehat{i} + 0.8\widehat{j} + c\widehat{k}\), then the valu...

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

(a) 1

A

(b) 0.11\sqrt{0.11}

A

(c) 0.01\sqrt{0.01}

A

(d) 0.39\sqrt{0.39}

Explanation

Solution

(b)

Magnitude of unit vector = 1

⇒ (0.5)2+(0.8)2+c2=1\sqrt{(0.5)^{2} + (0.8)^{2} + c^{2}} = 1

By solving we get c=0.11c = \sqrt{0.11}