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Section 11.2 : Vector Arithmetic
- Given →a=⟨8,5⟩ and →b=⟨−3,6⟩ compute each of the following.
- 6→a
- 7→b−2→a
- ‖10→a+3→b‖
- Given →u=8→i−→j+3→k and →v=7→j−4→k compute each of the following.
- −3→v
- 12→u+→v
- ‖−9→v−2→u‖
- Find a unit vector that points in the same direction as →q=→i+3→j+9→k. Solution
- Find a vector that points in the same direction as →c=⟨−1,4⟩ with a magnitude of 10. Solution
- Determine if →a=⟨3,−5,1⟩ and →b=⟨6,−2,2⟩ are parallel vectors. Solution
- Determine if →v=9→i−6→j−24→k and →w=⟨−15,10,40⟩ are parallel vectors. Solution
- Prove the property : →v+→w=→w+→v. Solution