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Question: \(\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}\) are three coplanar vectors. Find the ve...

a→,b→,c→\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} are three coplanar vectors. Find the vector sum, a→=4i^−j^,b→=−3i^+2j^,c→=−3j^\overrightarrow{a} = 4\widehat{i} - \widehat{j},\overrightarrow{b} = - 3\widehat{i} + 2\widehat{j},\overrightarrow{c} = - 3\widehat{j}

A

(a) √5, 2970

A

(b) √5,630

A

(c) √3,2970

A

(d) √3, 630

Explanation

Solution

(a)

R→=a→+b→+c→=i^−2j^\overrightarrow{R} = \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = \widehat{i} - 2\widehat{j}|R|= √5 and tanθ = -2 or θ = 297o