vectors-m

Related Questions

• If $\mathbf{d}=\lambda \,(\mathbf{a}\times \mathbf{b})+\mu \,(\mathbf{b}\times \mathbf{c})+\nu \,(\mathbf{c}\times \mathbf{a})$and $[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]=\frac{1}{8},$ then $\lambda +\mu +\nu $ is equal to

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• If a, b, c are non-zero vectors such that $\mathbf{a}\,\,.\,\,\mathbf{b}=\mathbf{a}\,\,.\,\,\mathbf{c},$ then which statement is true

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• A and B are two points. The position vector of A is $6\mathbf{b}-2\mathbf{a}.$ A point P divides the line AB in the ratio 1 : 2. If $\mathbf{a}-\mathbf{b}$ is the position vector of P, then the position vector of B is given by

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• The area of the triangle having vertices as $\mathbf{i}-2\mathbf{j}+3\mathbf{k},$ $\,-2\mathbf{i}+3\mathbf{j}+\mathbf{k}$ , $4\mathbf{i}-7\mathbf{j}+7\mathbf{k}$ is

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• If $\theta$ be the angle between the unit vectors a and b, then $\mathbf{a}-\sqrt{2}\,\mathbf{b}$ will be a unit vector if $\theta =$

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