explore one approach to the problem of findingthe projection of a vector onto a plane

Chapter 1, Problem 1.3.47

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explore one approach to the problem of findingthe projection of a vector onto a plane. As Figure 1.69shows, if is a plane through the origin in 3 with normalvector n, and v is a vector in 3, then p proj(v) is avector in such that v cn p for some scalar c. 47. Using the fact that n is orthogonal to every vector in (and hence to p), solve for c and thereby find an expressionfor p in terms of v and n.

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