Home
Class 12
MATHS
Find the value of lambda, if the point w...

Find the value of `lambda`, if the point with position vectors `3hat(i) - 2hat(j) - hat(k), 2hat(i) + 3hat(j) - 4hat(k), -hat(i) + hat(j) + 2hat(k)` and `4hat(i) + 5hat(j) + lambda hat(k)` are coplanar.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 3|13 Videos

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Long answer type questions - II)|23 Videos

Similar Questions

Explore conceptually related problems

Show that the four points A, B, C and D with position vectors 4hat(i) + 5hat(j) + hat(k) - hat(j) - hat(k), 3hat(i) + 9hat(j) + 4hat(k) and 4(-hat(i) + hat(j) + hat(k)) respectively are coplanar.

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

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

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

Find the sum of vectos a = hat(i)- 2hat(j)+hat(k),b=-2hat(i)+4hat(j)+5hat(k) and c=hat(i)-6hat(j)-7hat(k) .

Find the unit vector perpendicular to the plane ABC where the position vectors A, B and C are 2hat(i) - hat(j) + hat(k), hat(i) + hat(j) + 2hat(k) and 2hat(i) + 3hat(k) .

Find the direction cosines of vector, 2hat(i) + hat(j) + 3hat(k) .

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.