The value of `n` so that vectors `2hat i+3hat j-2hat k,` ,`5hat i+nhat j+hat k` and `-hat i+2hat j+3hat k` may be coplanar, will be

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

the angle between the vectors 2hat i-3hat j+2hat k and hat i+5hat j+5hat k is

Prove that point hat i+2hat j-3hat k,2hat i-hat j+hat k and 2hat i+5hat j-hat k from a triangle in space.

What is the value of m if the vectors 2hat(i)-hat(j)+hat(k), hat(i)+2hat(j)-3hat(k) and 3hat(i)+m hat(j)+5 hat(k) are coplanar?

Show that the points A(-2hat i+3hat j+5hat k),B(hat i+2hat j+3hat k) and C(7hat i-hat k) are collinear.

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

If the four points with positing vectors,-2hat i+hat j+hat k,hat i+hat j+hat k,hat j-hat k and lambdahat j+hat k are coplanar,then lambda is equal to

What is the value of m, if the vector 2 hat(i) - hat(j) + hat(k), hat(i) + 2hat(j)- 3hat(k) and 3hat(i) + m hat(j)+ 5hat(k) are coplanar?

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

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear