Show that the vectors `2hat(i)-3hat(j)+4hat(k)` and `-4hat(i)+6hat(j)-8hat(k)` are collinear.

For what value of 'a' the vectors 2hat(i) - 3hat(j) + 4hat(k) and ahat(i) + 6hat(j) - 8hat(k) are collinear ?

Show that the vectors 2hat(i)-hat(j)+hat(k),hat(i)-3hat(j) . And 3hat(i)-4hat(j)-3hat(k) . Form the vertices of a right angled triangle.

If the vectors 2hat(i) + 3hat(j) - 6hat(k) and 4hat(i) - m hat(j) - 12 hat(k) are parallel find m.

Show that the vectors bar(a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and bar(b) = -4 hat(i) + 6 hat(j) - 8k are collinear.

The dot product of a vector with the vectors hat(i) - 3hat(k) , hat(i) - 2hat(k) and hat(i) + hat(j) + 4hat(k) are 0, 5 and 8 respectively. Find the vector.

Write the value of p for which the vectors 3hat(i) + 2hat(j) + 9hat(k) and hat(i) - 2p hat(j) + 3hat(k) are parallel vectors.

The value of p such that the vectors hat(i) + 3hat(j) - 2hat(k), 2hat(i) - hat(j) + 4hat(k) and 3hat(i) + 2hat(j) + p hat(k) are coplanar is

If the vecotrs a hat(i) + hat(j) -2 hat(k) and -12 hat(i) + 4hat(j) + 8 hat(k) are perpendicular then the value of a is equal to

The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), 2hat(i) + 3hat(j) -hat(k) is