Given vectors: A = î+ 8 − 3k̂, B⃗ = 4î− ĵ+ 5k̂, and C = î− 7k̂. Find the
following,
a) A ∙ B⃗ h) A ∙ (B⃗ × C )
b) 3A ∙ C i) (A × B⃗ ) ∙ (B⃗ − C )
c) 3A + B⃗ ∙ C j) A × B⃗ × C
d) Angle between A and B⃗ k) 5(B⃗ + C )
e) Angle between A and C l) 5|C × B⃗ |
f) A × C m) Â and B̂
g) A × B⃗ n) Sketch the vectors A , B⃗ , & C
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