Mary Buchanan
2021-12-15
Answered

How do you find the scalar and vector projections of b onto a given $a=i+j+k$ , $b=i-j+k$ ?

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Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at

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Find the vectors T, N, and B at the given point.

$r(t)=<{t}^{2},\frac{2}{3}{t}^{3},t>$ and point $<4,-\frac{16}{3},-2>$

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Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

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The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

Write the solution in vector form.

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What is the norm or $<-7,6,-1>?$

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Find two vectors in opposite directions that are orthogonal to the vectot u. $u=<3,5>$

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If V is a finite dimensional vector space and W is a subspace, the W is finite dimensional. Prove it.