Question

The magnitude of two vectors p and q differ by 1 .the magnitude of their resultant makes an angle of tan-1 (3/4) with p.the angle between p and q is

Answer 1

Answer:

If the value of tan = 3/4 then the value of perpendicular(p) is 3 and the value of base(b) is 3 + 1 = 4 according to the question hence the value of hypotenuse will be which is 5.

Now, to find the angle between p and q we have to use the formulae of triangle law of vector.

5^2 = where x is the angle between P and Q.

25 = 25 + 2pqcosx.

cosx=0.

x=90