Home
Class 12
MATHS
If a line in the space makes angles alph...

If a line in the space makes angles `alpha, beta`  and `gamma`  with the coordinate axes, then find the value of `cos2alpha + cos2 beta + cos 2 gamma + sin^(2) alpha + sin^(2) beta + sin^(2) gamma`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Part I Questions For Practice ( Direction Cosines and Direction Ratios of a line ) Short Answer Type Questions|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Part II Questions For Practice ( Plane) Very Short Answer Type Questions|17 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Long Answer Type Questions)|8 Videos

Similar Questions

Explore conceptually related problems

A line makes angles alpha, beta, gamma, delta with the four main diagonals of a cube. Prove that cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4/3

If alpha,beta,gamma be direction angles of a line, what is the value of sin^2alpha+sin^2beta+sin^2gamma .