Home
Class 12
PHYSICS
Two vectors vecA and vecB have magnitud...

Two vectors `vecA` and `vecB` have magnitude in the ratio `1:2` respectively. Their difference vector has as magnitude of 10 units, and the angle between `vecA & vecB` is `120^(@)` . The magnitude of `vecA and vecB` are :

A

`(5)/(sqrt(7)) , (10)/(sqrt(7))`

B

`(5)/(sqrt(3)) , (10)/(sqrt(3))`

C

`(10)/(sqrt(7)) , (20)/(sqrt(7))`

D

`(10)/(sqrt(3)) , (20)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Two vectors ………….
`x_(1) 2x`
`sqrt(x^(2)+(2x)^(2)-2(x)(2x)cos(120)) = 10`
`sqrt(5x^(2)+2x^(2)) = 10`
`sqrt((100)/(7) = x`
`|vecA| = (10)/(sqrt(7)) : |vecB| = (20)/(sqrt(7))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two vectors vecA" and "vecB have equal magnitudes. If magnitude of vecA+vecB is equal to n times the magnitude of vecA-vecB , then the angle between vecA" and "vecB is :-

The vectors vecA has a magnitude of 5 unit vecB has a magnitude of 6 unit and the cross product of vecA and vecB has a magnitude of 15 unit. Find the angle between vecA and vecB .

When two vectors vecA and vecB of magnitudes a and b respectively are added, the magnitude of resultant vector is always

If vecA+vecB=vecC , then magnitude of vecB is

The resultant of two vectors vecA and vecb is perpendicular to the vector vecA and its magnitude is equal to half the magnitude of vector vecB . The angle between vecA and vecB is

Vector vecA has a magnitude of 6.00 vector vecB has a magnitude of 7. 00 units, and vecA.vecB has a value of 14.0 What is the angle between the direction of vecA and vecB ?

A magnitude of vector vecA,vecB and vecC are respectively 12, 5 and 13 units and vecA+vecB=vecC then the angle between vecA and vecB is

The magnitudes of vectors vecA.vecB and vecC are respectively 12,5 and 13 unira and vecA+vecB=vecC , then the angle between vecA and vecB is :

Let veca and vecb be two vectors of the same magnitude such that the angle between them is 60^(@) and veca.vecb =8. Find |veca| and |vecb| .