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

A= B = 5 unit and `theta = 60^(@) , R = sqrt (A^(2) + B^(2) + 2AB cos60^(@))= 5sqrt3` unit
`tan alpha = (B sin 60^(@))/(A+ B cos 6760^(@))= ((sqrt3)/(2))/((3)/(2))= tan 30^(@) therefore alpha = 30^(@)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise BEGINNER S BOX 1|2 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise BEGINNER S BOX 2|3 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

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 :

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

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

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

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

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 .

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