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2 years ago

W = <9, −13, 8>

Mathematics

1 answer:

ss7ja [257]2 years ago

7 0

The coordinate of point Q such that PQ = w where P is the point P(−2, 3, 13) is <-11, 16, 5>

<h3>Sum and difference of vectors</h3>

Vectors are quantities that has both magnitude and direction. Given the following vectors

w = <9, −13, 8>

P(−2, 3, 13)

If PQ = w, then;

Q - P = w

Q = w + P

Substitute

Q = <-2, 3, 13>-<9, -13, 8>

Q = <-2-9, 3+13, 13-8>

Q = <-11, 16, 5>

Hence the coordinate of point Q such that PQ = w where P is the point P(−2, 3, 13) is <-11, 16, 5>

Learn more on sum of vectors here: brainly.com/question/2927458

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3 years ago

Question 3 of 10

MrMuchimi

Answer:

The point-slope form of the line is:

$y + 4 = 4(x+3)$

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

$y - (-4) = 4(x - (-3))$

$y + 4 = 4(x+3)$

Therefore, the point-slope form of the line is:

$y + 4 = 4(x+3)$

Hence, option B is correct.

The graph of the line is also attached.

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