Let and be three vectors. Let be a unit vector along . If , then is equal to:

Question

Let  and  be three vectors. Let  be a unit vector along . If , then  is equal to:

Canvas Classes · Accepted Answer

🧠 Read the Condition Carefully —  is a UNIT Vector

Read the question slowly. You are given three vectors and asked to find . The two key phrases are: " is a unit vector along " and "".

This is a "unit vector + dot product = number" problem. The standard move whenever you see "unit vector along " is to write . So your first concrete step is to compute  and treat its magnitude as an unknown for now.

Then the dot-product condition  becomes , which after squaring gives one equation in . That is

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