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

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

A

1

B

4.7

C

6.3

D

8.5

Answer

8.5

Explanation

Solution

A→\overrightarrow{A}.B→\overrightarrow{B} = 15 + 2 – 2l = 0

2l = 17 Ž l = 172\frac{17}{2} = 8.5