Question
If ⃗a=<3,−2,1>⃗b=<−1,1,1> then the unit vector parallel to the vector ⃗a+⃗b is
Answer: Option A
:
A
⃗a+⃗b=<3,−2,1>+<−1,1,1>=<2,−1,2>⇒|⃗a+⃗b|=√4+1+4=√9=3
Unit vector parallel to ⃗a+⃗b is ±a+b|⃗a+⃗b|=±<2,−1,2>3
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:
A
⃗a+⃗b=<3,−2,1>+<−1,1,1>=<2,−1,2>⇒|⃗a+⃗b|=√4+1+4=√9=3
Unit vector parallel to ⃗a+⃗b is ±a+b|⃗a+⃗b|=±<2,−1,2>3
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