Reeves
2021-09-13
Answered

Find an equation of the plane. The plane through the origin and perpendicular to the vector <1, -2, 5>

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hesgidiauE

Answered 2021-09-14
Author has **106** answers

Perpendicular to plane and normal to the plane mean the same thing.

Theorem 7 states that:

The scalar equation of a plane that passes through the point (a,b,c) and has (I,m,n) as the normal vector, is given by

l(x-a)+m(y-b)+n(z-c) =0

Therefore, equation of the plane that has$\u27e81,\u20142,5\u27e9$ as the normal vector and passes through the point (0,0,0) is given by

1*(x-0) -2*(y-0)+5*(z-0) =0

Remove the brackets

x-2y+5z=0

Results:

x-2y+5z=0

Theorem 7 states that:

The scalar equation of a plane that passes through the point (a,b,c) and has (I,m,n) as the normal vector, is given by

l(x-a)+m(y-b)+n(z-c) =0

Therefore, equation of the plane that has

1*(x-0) -2*(y-0)+5*(z-0) =0

Remove the brackets

x-2y+5z=0

Results:

x-2y+5z=0

asked 2021-06-01

At the specified position, determine the vectors T, N, and B.

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

asked 2021-05-14

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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We need to find the volume of the parallelepiped with only one vertex at the origin and conterminous vertices at $(1,3,0),(-2,0,2),{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}(-1,3,-1)$.

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How to calculate the intersection of two planes ?

These are the planes and the result is gonna be a line in$\mathbb{R}}^{3$ :

$x+2y+z-1=0$

$2x+3y-2z+2=0$

These are the planes and the result is gonna be a line in

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Let V, W, and Z be vector spaces, and let $T:V\to W$ and $U:W\to Z$ be linear.

If UT is onto, prove that U is onto.Must T also be onto?

If UT is onto, prove that U is onto.Must T also be onto?

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Identify each of the following functions as exponential growth or decay y=39(0.98)^t

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Let