Answer to Question #63503 in Analytic Geometry for hoseph ogala

Question

1 Find the magnitude of vector
A=3i−2j+2k
Given that
A1=3i−2j+k
A1=3i−2j+k
,
A2=2i−4j−3k
A2=2i−4j−3k
,
A3=−i+2j+2k
A3=−i+2j+2k
, find the magnitudes of
2A1−3A2−5A3

3 Given that
A1=2i−j+k
A1=2i−j+k
,
A2=i+3j−2k
A2=i+3j−2k
,
A3=3i+2j+5k
A3=3i+2j+5k
and
A4=3i+2j+5k
A4=3i+2j+5k

,Find scalars a, b, c such that
A4=aA1+bA2+cA3

4 Let a and b be vectors, then
a×b=absinθ
a×b=absin⁡θ
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5 A car travels 3km due north, then 5km northeast. Determine the resultant displacement