vectors-m

Related Questions

• If the position vectors of the points A, B, C be $\mathbf{i}+\mathbf{j},\,\,\,\mathbf{i}-\mathbf{j}$ and $a\,\,\mathbf{i}+b\,\mathbf{j}+c\,\mathbf{k}$ respectively, then the points A, B, C are collinear if

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• If $\mathbf{a}=4\mathbf{i}+6\mathbf{j}$ and $\mathbf{b}=3\,\mathbf{j}+4\,\mathbf{k},$ then the component of a along b is

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• If $\vec{a}$ and $\vec{b}$ are two non-zero and non-collinear vectors, then $\vec{a} + \vec{b}$ and $\vec{a} – \vec{b}$ are

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• 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 $a=\,\,|\mathbf{a}|,\,\,b=\,|\,\mathbf{b}|,\,\,c=\,|\mathbf{c}|)$

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• If the position vectors of the vertices of a triangle be $2\mathbf{i}+4\mathbf{j}-\mathbf{k},$ $4\mathbf{i}+5\mathbf{j}+\mathbf{k}$ and $3\mathbf{i}+6\mathbf{j}-3\mathbf{k},$ then the triangle is

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