The position vectors of points P and Q
relative to the origin O are (
4
2
) and (
k
4
)
respectively. Given that ⃗QP⃗⃗⃗⃗
is perpendicular to
⃗OP⃗⃗⃗⃗
, use a scalar or dot product to find:
i. the value of k
ii. the magnitude of QO⃗⃗⃗⃗⃗⃗
and of ⃗QP⃗⃗⃗⃗
iii. the angle OQP to the nearest degree.
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