Questions in vectors-m

SelectQuestion
If the position vectors of the points A and B be $2\,\mathbf{i}+3\,\mathbf{j}-\mathbf{k}$ and $-2\,\mathbf{i}+3\,\mathbf{j}+4\,\mathbf{k},$ then the line AB is parallel to
The points with position vectors $10\,\mathbf{i}+3\,\mathbf{j},\,\,12\,\mathbf{i}-5\,\mathbf{j}$ and $a\,\mathbf{i}+11\,\mathbf{j}$ are collinear, if $a=$
Three points whose position vectors are $\mathbf{a}+\mathbf{b},\,\,\mathbf{a}-\mathbf{b}$ and $\mathbf{a}+k\mathbf{b}$ will be collinear, if the value of k is
If the position vectors of A, B, C, D are $2\,\mathbf{i}+\mathbf{j},$ $\mathbf{i}-3\,\mathbf{j},$ $3\,\mathbf{i}+2\,\mathbf{j}$ and $\mathbf{i}+\lambda \mathbf{j}$ respectively and $\overrightarrow{AB}||\overrightarrow{CD}$ , then $\lambda $ will be
If the vectors $3\,\mathbf{i}+2\,\mathbf{j}-\mathbf{k}$ and $6\,\mathbf{i}-4x\mathbf{j}+y\mathbf{k}$ are parallel, then the value of x and y will be
If $(x,\,\,y,\,\,z)\ne (0,\,\,0,\,\,0)$ and $(\mathbf{i}+\mathbf{j}+3\,\mathbf{k})\,x+(3\,\mathbf{i}-3\mathbf{j}+\mathbf{k})\,y$ $+(-4\mathbf{i}+5\mathbf{j})\,z=\lambda \,(x\mathbf{i}+y\mathbf{j}+z\mathbf{k}),$ then the value of $\lambda$ will be
The vectors a, b and a + b are
If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that
If $\mathbf{a}=(2,\,\,5)$ and $\mathbf{b}=(1,\,\,4),$ then the vector parallel to $(\mathbf{a}+\mathbf{b})$ is
The vectors a and b are non-collinear. The value of x for which the vectors $\mathbf{c}=(x-2)\,\mathbf{a}+\mathbf{b}$ and $\mathbf{d}=(2x+1)\,\mathbf{a}-\mathbf{b}$ are collinear, is

View Selected Questions (0)

Back to Categories

Back to Home