Question

If a vector + b vector + c vector is equal to zero then a vector cross b vector is

Answer 1

Answer:

Hope the attachment helps you to understand the method.....

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thanks for asking....

Answer 2

Answer:

Concept:

a × b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross products are another name for vector products. The cross-product of two vectors yields a vector, which is calculated using the Right-hand Rule.

Step-by-step explanation:

Given:

$\begin{aligned}&\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0} \\\end{aligned}$

i.e., $&\Rightarrow \vec{a}=-\vec{b}-\vec{c}$

Find:

$\vec{a} \times \vec{b}$

Solution:

$\begin{array}{ll}\vec{a} \times \vec{b}=(-\vec{b}-\vec{c}) \times \vec{b}=-\vec{c} \times \vec{b} \quad \text { [Using (i) ] } \\\vec{b} \times \vec{c}=-\vec{c} \times \vec{b} \\\vec{c} \times \vec{a}=\vec{c} \times(-\vec{b}-\vec{c})=-\vec{c} \times \vec{b} \quad \text { [Using (i) }\end{array} \therefore \vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a}$

Hence, $\vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a}$

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