Determine the value of `c` so that for all real `x` , vectors `c x hat i-6 hat j-3 hat ka n dx hat i+2 hat j+2c x hat k` make an obtuse angle with each other.

Determine the value of c to that for all real x, the vectors cxhat(i)-6hat(j)+3hat(k) and xhat(i)+2hat(j)+2cxhat(k) make an obtuse angle with each other.

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

Determine the sine of the angle between the vectors . 2 hat I + 3 hat j -4 hat k and ( hat i-2 hat k).

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

For what value of (a) are the vectors ltbRgt vec A= 2 a hat i-2 hat j + hat k and vec B a hat I + a hat j -4 hat k perpecdicular to each other ?

The unit vector perpendicular to both the vectors a=hat i+hat j+hat k and b=2hat i-hat j+3hat k and making an acute angle with the vector k is

Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2 hat i +4 hat j-5 hat k and hat i+2 hat j+3 hat k.Then if vec a is a unit vector parallel to AC then = (a) 1/3(3 hat i-6 hat j-2 hat k) (b) 1/3(3 hat i +6 hat j+2 hat k) (c) 1/7(3 hat i +6 hat j+2 hat k) (d) 1/7(3 hat i +6 hat j-2 hat k)

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If 9 3hat i-2 hat j+ 2 hat k+ 2hat k).(2 hat i-x hat j+3 hat k) =- 12 , the value of (x) is .