Home
Class 11
PHYSICS
If the sum of two unit vectors is also a...

If the sum of two unit vectors is also a unit vector. Then magnituce of their difference and angle between the two given unit vectors is

Text Solution

Verified by Experts

Let`hatA "and" hatB` are the given unit vectors and `hatR` is their resultant then `|hatR|=|hatA+hatB|`
`1=sqrt((hatA)^(2)+(hatB)^(2)+2|hatA||hatB| cos theta), 1=1 +1+2 cos theta rArr cos theta =-1/2`
`|vecA-vecB|=sqrt((hatA)^(2)+(hatB)^(2)-2|hatA||hatB|cos theta)=sqrt(1+1-2xx1xx1(-1/2))=sqrt3`
Promotional Banner

Similar Questions

Explore conceptually related problems

If the sum of two unit vectors is a unit vector, then the magnitude of their difference is :

If the sum of two unit vectors is a unit vector, then magnitude of difference is-

If the sum of two unit vectors is a unit vector, show that magnitude of their difference is sqrt3 .

If sum of two unit vectors is a unit vector; prove that the magnitude of their difference is sqrt3

If the sum of two unit vectors is a unit vector, prove that the magnitude of their difference is sqrt(3.)

If the sum of two unit vectors is a unit vector prove that the magnitude of their difference is sqrt(3)dot

If the sum of two unit vectors is also a vector of unit magnitude, the magnitude of the difference of the two unit vectors is

Define unit vector.

What is a unit vector?

If the difference of two unit vectors is also a vector of unit magnitude, the magnitude of the sum of the two unit vectors is