Home
Class 11
PHYSICS
Two vectors of equal magnitude 5 unit ha...

Two vectors of equal magnitude 5 unit have an angle `60^0` between them. Find the magnitude of a the sum of the vectors and b the difference of the vectors. . .

Text Solution

Verified by Experts

ure shows the construction of the sum
` vecA+vecB` and the differece `vecA-vecB`.
`a vecA+vecB` is the sum to `vecA and vecB`. Both have a magnitude of unit nd the angle between them is `60^0`. Thus, the magnitude of the sum is
`|vecA+vecB|=sqrt(5^2+5^2+2xx5x5cos60^0)`
`=2xx5 cos 30^0=5sqrt 3` unit.
b. ` vecA-vecB` is the sum of `vecA and (-vecB)`. As shown in the ure, angle between `vecA and (-vecB)` is `120^0`. The magnitude of both `vecA and (-vecB)` is 5 unit so,
`|vecA-vecB|=sqrt95^2+5^2+2x5xx5 cos 120^0)`
1 = 2xx cos6060 = 5 unit`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Two vectors having equal magnitude of 5 units, have an angle of 60^(@) between them. Find the magnitude of their resultant vector and its angle from one of the vectors.

The magnitude of a vector cannot be :

The magnitude of the vector product of two vectors vecA and vecB may not be:

Two vectors, both equal in magnitude, have their resultant equal in magnitude of the either. Find the angle between the two vectors.

A vector vec(A) of length 10 units makes an angle of 60^(@) with a vector vec(B) of length 6 units. Find the magnitude of the vector difference vec(A)-vec(B) & the angles with vector vec(A) .

If magnitude of sum of two unit vectors is sqrt2 then find the magnitude of subtraction of these unit vectors.

Two displacement vectors of same magnitude are arranged in the folllowing manner. Magnitude of resultant is maximum for

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector is

If the sum of two unit vectors is a unit vector,then find the magnitude of their differences.

Show that the magnitude of a vector is equal to the square root of the scalar product of the vector with itself .