Find the position vector of a point `A` in space such that ` vec O A` is inclined at `60^0toO X` and at `45^0toO Ya n d| vec O A|=10u n i t sdot`

If the position vector vec a of a point (12 ,n) is such that | vec a|=13 , find the value of ndot

If the position vector vec a of a point (12 ,n) is such that | vec a|=13 , find the value of ndot

If the position vector vec a of a point (12 ,n) is such that | vec a|=13 , find the value (s) of ndot

vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k are two vectors. The position vectors of the points Aa n dC are =6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k respectively. Find the position vector of a point P on the line A B and a point Q on the line C D such that vec P Q is perpendicular to vec A Ba n d vec C B both.

A vector vec r\ is inclined to x-axis at 45^0 and y-axis at 60^0dot If | vec r|=8 units, find vec rdot

A vector vec O P is inclined to O X at 45^0 and O Y at 60^0 . Find the angle at which vec O P is inclined to O Zdot

A vector vec O P is inclined to O X at 50^0 and O Y at 60^0 . Find the angle at which vec O P is inclined to O Zdot

A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the magnitude of vec r is 6 units, find vec rdot

If vec a ,\ vec b ,\ vec c and vec d are the position vectors of points A , B ,\ C ,\ D such that no three of them are collinear and vec a+ vec c= vec b+ vec d ,\ t h e n\ A B C D is a a. rhombus b. rectangle c. square d. parallelogram

If P is a point in space such that OP=12 and vec(OP) is inclied at angle of 45^(@) and 60^(@) with OX and OY respectively, then the position vector of P is