Answer :
Final answer:
The scalar projection is found using the dot product and cosine of the angle, while the vector projection is the scalar projection multiplied by the unit vector in the direction of the other vector.
Explanation:
The scalar projection (component) of a vector onto another vector can be found using the dot product. To find the scalar projection, you multiply the magnitude of the vector you want to project (let's call it vector A) by the cosine of the angle between the two vectors.
Scalar Projection: A⋅cosθ
To find the vector projection, you need to multiply the scalar projection by a unit vector in the direction of the vector you want to project onto. The unit vector is the direction vector of the vector you want to project onto, divided by its magnitude.
Vector Projection: (A⋅cosθ) ⋅ (B/|B|)
Learn more about Dot product here:
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