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2 years ago

5

Like the other qs I asked, I know this is alot but I really need help. I can admit I am terrible at math, like totally terible,

so I am counting on u guys to help me lol:) Thanks

1 answer:

Scilla [17]2 years ago

6 0

Answer:

it's blocked can't see

Step-by-step explanation:

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Find an equation of the plane through the point (1, -5, 3) and perpendicular to the vector (2, -3, -3).

AnnyKZ [126]

<span>2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be: ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is 2x - 3y - 3z = 8</span>

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3 years ago

let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a

Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

$\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}$

or in matrix form,

$\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}$

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

$\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0$

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2 years ago

If rectangle ABCD was reflected over the y-axis, reflected over the x-

olga_2 [115]

Answer:

-4, 1

Step-by-step explanation:

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3 years ago

What is the solution to the equation 4x-6=10x-3

egoroff_w [7]

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

+6 +6

4x = 10x + 3

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2 years ago

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2 years ago

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