Find the angle between vectors a ⃗ = 7, 1, –2 and...

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Unit 6 Key Questions Task 1: Knowledge and Understanding Questions 1. Find the angle between vectors a = (7, 1, –2) and b = (5, 4, 4). (5 marks)
2. Find the cross product of u =(–2, 3, –4) and v =(1, –4, 5). (4 marks)
( 4 ) ( 1 ) ( 2 ) ( 5 ) = 6 ( 2 ) ( 4 ) ( 3 ) ( 1 ) = 5 (− 1,6,5 ) 3. Given two vectors, u = (5, –1, 5) and v = (–4, 5, 2), find the projection of u on v Cartesian form. (4 marks) in
4. Find the volume of a parallelepiped defined by vectors u = (3, 4, –2), v = (0, 2, 3), and w = (–2, 0, –4). (4 marks)
v = ¿ ( u→×v → ) ∙w→ ¿ v = ( 16, 9,6 ) (− 2,0, 4 ) v = ( 16 ) ( 2 ) + ( 9 ) ( 0 ) + ( 6 ) (− 4 ) v = ¿ 56 ¿ v = 56 the volumeis 56 cubicunits Task 2: Thinking Questions

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