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Question: The vector \(5\widehat{i} + 2\widehat{j} - l\widehat{k}\) is perpendicular to the vector \(3\widehat...

The vector 5i^+2j^−lk^5\widehat{i} + 2\widehat{j} - l\widehat{k} is perpendicular to the vector 3i^+j^+2k^3\widehat{i} + \widehat{j} + 2\widehat{k} for l =

A

(a) 1

A

(b) 4.7

A

(c) 6.3

A

(d) 8.5

Explanation

Solution

(d)

A→⊥B→\overrightarrow{A}\bot\overrightarrow{B} so A→.B→\overrightarrow{A}.\overrightarrow{B} = 0

15 + 2 – 2l = 0

\mathcal{l} = 8.5 \end{matrix}$$