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

bubb

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

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

FrankXie

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two vectors are same if and only if all components are same. a=b, so z=1, 3y+2=x+y, 5x-3=2x+y, solving simutaneously we have x=4/5, y=-3/5, z=1, so the magnitude of 1.25xi+5yj+6zk=i-3j+6k is \sqrt{1^2+(-3)^2+6^2}=\sqrt{46}.
 

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