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Question: Angle between two vectors \((\widehat{i} + \widehat{j})\) and \((\widehat{i} - \widehat{j})\) is-...

Angle between two vectors (i^+j^)(\widehat{i} + \widehat{j}) and (i^j^)(\widehat{i} - \widehat{j}) is-

A

(a) 300

A

(b) 600

A

(c) 450

A

(d) 900

Explanation

Solution

(d)

A.B=(i^+j^).(i^j^)\overrightarrow{A}.\overrightarrow{B} = (\widehat{i} + \widehat{j}).(\widehat{i} - \widehat{j}) = 0

so AB\overrightarrow{A}\bot\overrightarrow{B}