Home
Class 12
MATHS
If a unit vector vec(a) makes angle (pi)...

If a unit vector `vec(a)` makes angle `(pi)/(4)` with `hat(i), (pi)/(3)` with `hat(j)` and an acute angle `theta` with `hat(k)`, then find the components of `vec(a)` and the angle `theta`.

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(sqrt(2)), (1)/(2), (1)/(2))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part II Scalar (or dot) Product of Two Vectors) Very Short Answer Type Questions|17 Videos
  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part II Scalar (or dot) Product of Two Vectors) Short Answer Type Questions|9 Videos
  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part I Basic Concepts) Very Short Answer Type Questions|15 Videos
  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos