Home
Class 12
PHYSICS
Find out the angle made by (hati+hatj) v...

Find out the angle made by `(hati+hatj)` vector from X and Y axes respectively.

Text Solution

Verified by Experts

The correct Answer is:
`45^(@)`
`a=sqrt(a_(x)^(2)+a_(y)^(2))=sqrt(1^(2)+1^(2))=sqrt(2)`
`cosalpha=(a_(x))/(a)=(1)/(sqrt(2)) therefore alpha=45^(@)`
`cosbeta=(a_(y))/(a)=(1)/(sqrt(2)) therefore beta=45^(@)`
`hati+hatj` is at bisector of X and Y axes.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the angle made by (hati+hatj) vetor from X and Y axes respectively.

Find out the angle made by vecA=hati+hatj+hatk vector from X,Y and Z axes respectively.

Find out the angle made by vecA= hati+hatj+hatk vector from X, Y and Z axes respectively.

The angle made by the vector vecA=hati+hatj with x-axis is

The angle made by the vector vecA=2hati+3hatj with Y-axis is

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 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 :

Two unit vectors hati and hatj are directed along x-axis and y-axis respectively. What is the magnitude and direction of the vectors hati+hatj and hati-hatj ?

Find the angles made by veca=3hati-6hatj+2hat k with the coordinate axes (standard basis vectors). Any vector in 3-D can be written as

Find the angle made by the following vector with the coordinates axes: (hati+hatj+hatk) (hatj-hatk) (hati-4hatj+8hatk)