Home
Class 12
MATHS
Find the magnitude of the vector (2hat(i...

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

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 1 (Short Answer Type Questions - I)|8 Videos

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 1 (Short Answer Type Questions - II)|6 Videos

  • THREE DIMENSIONAL GEOMETRY

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

Similar Questions

Explore conceptually related problems

The magnitude of the vector 6hat(i) + 2hat(j) + 3hat(k) is ?

Find the magnitude of the vector vec(a) = 3hat(i) +2hat(j) + 6hat(k) .

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

Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 hat(k) and 3 hat(i) + 2 hat(j) + 6 hat(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

Find the vector and cartesian equations of a plane containing the two lines vec(r) = (2 hat(i) + hat(j) - 3 hat(k)) + lambda(hat(i) + 2 hat(j) + 5 hat(k)) and vec(r) = (3hat(i) + 3 hat(j) + 2 hat(k)) + lambda (3 hat(i) - 2 hat(j) + 5 hat(k)) . Also show that the line vec(r) = (2 hat(i) + 5 hat(j) + 2 hat(k)) + p (3 hat(i) - 2 hat(j) + 5 hat(k)) lies in the plane.

Find the equation of the plane passing through the point P(1,1,1) and containing the line vec(r) = (-3 hat(i) + hat(j) + 5 hat(k)) + lambda (3 hat(i) - hat(j) - 5 hat(k)) . Also, show that the plane contains the line vec(r) = (- hat(i) + 2 hat(j) + 5hat(k)) + mu (hat(i) - 2 hat(j) - 5 hat(k)) .

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) - hat(j) + 2hat(k) and vec(b) = -hat(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.