vectors-m

Question: If a, b, c are three vectors such that $\mathbf{a}=\mathbf{b}+\mathbf{c}$ and the angle between b and c is $\pi /2,$ then (Note : Here $a=\,\,|\mathbf{a}|,\,\,b=\,|\,\mathbf{b}|,\,\,c=\,|\mathbf{c}|)$

1) ${{a}^{2}}={{b}^{2}}+{{c}^{2}}$

2) ${{b}^{2}}={{c}^{2}}+{{a}^{2}}$

3) ${{c}^{2}}={{a}^{2}}+{{b}^{2}}$

4) $2{{a}^{2}}-{{b}^{2}}={{c}^{2}}$

Solution:

Explanation: No Explanation

Scalar Product Dot Product

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