Consider two vectors υ = (-3,2,-1) and ν= (1, -3, 2), evaluate the following: a) (A:1)υ.ν b) (A:1) Angle between υ and ν c)

Question

Consider two vectors υ = (-3,2,-1) and ν= (1, -3, 2), evaluate the following:
a) (A:1)υ.ν
b) (A:1) Angle between υ and ν
c) (A:2) υ×ν
d) (A:2)Projᵥυ
e) (A:1)Area of parallelogram produced by υ and ν.
f) (K:1, Ⅰ:1) if ω= (3, 4, 2), are υ,ν and ω linearly dependent or independent? If they are not,
calculate the volume of the parallelepiped these three vector form.
g) (1:2, A:2) Can p = (2, 5, -3) be written as linear combination of  υ,ν and ω? If so, state the correct
linear combination. If not, explain why not.

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