vectors-m

Related Questions

• If $|\mathbf{a}|\,=2,\,\,|\mathbf{b}|\,=5$ and $|\mathbf{a}\times \mathbf{b}|\,=8,$ then a . b is equal to

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

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• If the position vectors of the points A, B, C, D be $2\mathbf{i}+3\mathbf{j}+5\mathbf{k},$ $\mathbf{i}+2\mathbf{j}+3\mathbf{k},\,\,-5\mathbf{i}+4\mathbf{j}-2\mathbf{k}$ and $\mathbf{i}+10\mathbf{j}+10\mathbf{k}$ respectively, then

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• If $\mathbf{a}=2\mathbf{i}+3\mathbf{j}-5\mathbf{k},\,\,\mathbf{b}=m\mathbf{i}+n\mathbf{j}+12\mathbf{k}$ and $\mathbf{a}\times \mathbf{b}=0,$ then $(m,\,\,n)=$

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• A vector of length 3 perpendicular to each of the vectors $3\,\mathbf{i}+\mathbf{j}-4\,\mathbf{k}$ and $6\,\mathbf{i}+5\,\mathbf{j}-2\,\mathbf{k}$ is

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