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Question: The angle between the vectors (\(\overset{\rightarrow}{i}\) + \(\overset{\rightarrow}{j}\)) and (\(\...

The angle between the vectors (i\overset{\rightarrow}{i} + j\overset{\rightarrow}{j}) and (j\overset{\rightarrow}{j} + k\overset{\rightarrow}{k}) is -

A

(a)90090^{0}

A

(b)1800180^{0}

A

(c)000^{0}

A

(d)60060^{0}

Explanation

Solution

(d)

cos q = (i^+j^).(j^+k^)22\frac{(\widehat{i} + \widehat{j}).(\widehat{j} + \widehat{k})}{\sqrt{2}\sqrt{2}}

or cos q = 12\frac{1}{2} Ž θ=600\theta = 60^{0}