Question

three coplaner vector with reference to a rectangular co ordinate systenm are A=5i-2j , B=3i+4j ,C=-2i+2j and the components are given arbitrary units .Find resultant vector R which represent sum of these vectors

Answer 1

Answer:

Given information

a = 4i-j

b = -3i+2j

c = -3j                                                             Now come to the solution ,

a+b+c= (4i-j+0k)+(-3i+2j+0k)+(0i-3j+0k)              = (4-3+0)i + (-1+2-3)j+(0+0+0)k                  = 1i-2j+0k

Let , r = a+b+c                                                     r = 1i-2j                                                           |r| = √1^2+(−2)^2                                            |r| = √5

√5 is a answer.