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Question

If vector PQ with coordinates of the end points (1, -2) and (4-1) is equal to vector is with coordinates of initial and final points (a, -1) and (0, 0) respectively, then |a|= ___

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Solution

Two vectors can be said to be equal if they have the same magnitudes and same directions.
Since PQ=RS
So PQ=RS
PQ = (41)2+(1(2))2
= 10
Now RS=(0a)2+(0(1))2
=a2+1
So
a2+1=10
or a2 + 1 = 10
a2 = 9
a = ± 3
|a|=3.

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