Home
Class 12
MATHS
If a vector makes angles alpha, beta and...

If a vector makes angles `alpha, beta` and `gamma` with OX, OY and OZ respectively, prove that `sin^(2)alpha+sin^(2)beta+sin^(2)gamma=2`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Vector vecP angle alpha,beta and gamma with the x,y and z axes respectively. Then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

Explain alpha beta and gamma rays

If a vector vec(A) make angles alpha , beta and gamma , respectively , with the X , Y and Z axes , then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

A line makes angles alpha, beta, gamma and delta with the diagonals of a cube, prove that sin^(2) alpha + sin^(2) beta + sin^(2) gamma + sin^(2) delta = (8)/(3) .

If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

cos^(2) alpha +cos^(2) beta +cos^(2) gamma is equal to

A line makes an angle alpha,beta and gamma with axes repectively, The values of alpha, beta and gamma are respectively theta, 60^@ and 30^@ then sin theta = .............

If a vector vecP makes an angle alpha, beta, gamma " with " x,y,z axis respectively then it can be represented as vecP=P[cos alphahati+cos beta hatj+ cos gamma hatk] . Choose the correct option(s) :

A line makes the angle alpha, beta , gamma and delta with the diagonals of a cube. The cos^2 alpha + cos^2 beta + cos^2 gamma + cos^2 delta =.............

A line marks angles alpha, beta and gamma with the coordinate axes. If (alpha+beta)=90^(@) , then find gamma .