Help! How do we show/ solve this vector problem?? (1 Viewer)

[bubb]

Vectors & are defined in terms of , & as:
= + ( + ) − (2 + )
= + (3 + 2) − (5 − 3)

If = then show that:
|1.25 + 5 + 6| = √46

 

[braintic]

If a=b then equating vector components:

z=1

x+y = 3y+2
x=2y+2

2x+y=5x-3
y=3x-3

Solving the last two simultaneously: y=-3/5, x=4/5, (z=1)

| 1.25xi +5yj +6zk |
= | i - 3j +6k |
= sqrt (1^2 + 3^2 +6^2)
= sqrt 46