Question

29. Five vectors X, Y, Z, OB and AO are connected as
shown in figure. If OB = AO, then which of the
following option is correct?
A
1 X + Y = 2ż
(3) x – = 3Z
(2) X - Y = 22
(4) Ý + Z = 28​

Answer 1

Answer:(1)

Explanation:Z + OB = X

Y + OA = Z

As OB =OA

X - Z = Z - Y

So, X +Y = 2Z

Answer 2

Answer:

X - Y = 2Z

Explanation:

According to vector addition rule,

OO' = O'A + AO ----(1)

or AO = OO' - O'A ----(2)

and O'B = O'O + OB ----(3)

or OB = O'B - OO' ----(4)

Given AO = OB

From (2) and (4), we get

OO' - O'A  =  O'B - OO' ----(4)

2OO' =O'B - O'A

Implies, 2Z= X - Y