IGNOU BPHCT 131 2026 - Three vectors , and satisfy the condition&n

Question

Three vectors $\mathbf{\vec{a}}$ , $\mathbf{\vec{b}}$ and $\mathbf{\vec{c}}$ satisfy the condition $\mathbf{\vec{a}} + \mathbf{\vec{b}} + \mathbf{\vec{c}} = \mathbf{\vec{0}}$ . If $|\mathbf{\vec{a}}| = 4, |\mathbf{\vec{b}}| = 2$ and $|\mathbf{\vec{c}}| = 3$ determine the value of $\mathbf{\vec{a}} \cdot \mathbf{\vec{b}} + \mathbf{\vec{b}} \cdot \mathbf{\vec{c}} + \mathbf{\vec{c}} \cdot \mathbf{\vec{a}}$ .

19 Jan 2026

Answer :

Word Count : 171

We are asked to find the value of [ \vec{a}\cdot\vec{b} + \vec{b}\cdot\vec{c} + \vec{c}\cdot\vec{a} ] given that [ \vec{a} + \vec{b} + \vec{c} = \vec{0}, \quad |\vec{a}|=4, \quad |\vec{b}|=2, \quad |\vec{c}|=3. ] --- Start by using the condition (\vec{a} + \vec{b}

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