A vector ` vec r` is inclined at equal acute angles of `x-axis ,` `y-axi s` and `z-a xi sdot` if `| vec r|=6` units, find ` vec rdot`

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 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

A = vec(i) + vec(j) . What is the angle between the vector and x-axis ?

If vec(a) and vec(b) are unit vectors inclined at an angle alpha , then the value of | vec(a) - vec(b)| is

If vec a and vec b are two vectors of the same magnitude inclined at an angle of 30^0 such that vec adot vec b=3, find | vec a|,| vec b| .

A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 , y-axis at 60^0 and an acute angle with z-axis. If a plane passes through a point (sqrt(2),-1,1) and is normal to vec n , find its equation in vector form.

A vector vec d is equally inclined to three vectors vec a= hat i+ hat j+ hat k , vec b=2 hat i+ hat ja n d vec c=3 hat j-2 hat kdot Let vec x , vec y ,a n d vec z be three vectors in the plane of vec a , vec b ; vec b , vec c ; vec c , vec a , respectively. Then a. vec x. vec d=-1 b. vec y. vec d=1 c. vec z. vec d=0 d. vec r. vec d=0,w h e r e vec r=lambda vec x+mu vec y+delta vec z

If vec n is a vector of magnitude sqrt(3) and is equally inclined with an acute angle with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane which passes through (2, 1, -1) and is normal to vec n .

Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 hat j+3 hat k be three given vectors. If vec r is a vector such that vec rxx vec b= vec cxx vec d and vec r dot vec a=0, then find the value of vec rdot vec bdot

Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value of its components (in terms of magnitude of vec(A) )