?Consider the vectors u = 4i ? 3j and v = 3i + 2j.a. Find the component form of vector

Chapter 2, Problem 171

(choose chapter or problem)

Consider the vectors u = 4i − 3j and v = 3i + 2j.

a. Find the component form of vector \(\mathbf{w}=\operatorname{proj}_{\mathbf{u}} \mathbf{v}\) that represents the projection of v onto u.

b. Write the decomposition v = w + q of vector v into the orthogonal components w and q, where w is the projection of v onto u and q is a vector orthogonal to the direction of u.

Text Transcription:

w = proj_u v

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