Home
Class 12
PHYSICS
If a vector vecP makes an angle alpha, b...

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

(a)`cos^(2) alpha + cos^(2) beta +cos^(2)gamma=1`

B

(b)`vecP. vecP=P^(2)`

C

(c)`vecP.(hati-hatk)=P(cos alpha-cos gamma)`

D

(d)`vecP. hati= cos alpha`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-2) Comprehension Type Questions.|9 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-2)Matrix Type Questions.|2 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (O-2) Single Correct Type Questions.|17 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Previous Year Questions)|7 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=

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 =

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

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 .

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 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 hati,hatj and hatk represent unit vectors along the x,y and z-axes respectively, then the angle theta between the vectors (hati+hatj+hatk) and (hati+hatj) is equal to :

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then tick the wrong statement:

If alpha, beta and gamma are angles made by the line with positive direction direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

The direction angles of the line x=4z+3, y=2-3z are alpha, beta and gamma , then cos alpha +cos beta+ cos gamma = ____