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3 years ago

find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a.1; no b.1;yes c.2; no d.2; yes

Mathematics

1 answer:

MakcuM [25]3 years ago

5 0

Answer:

c. 2; no

Step-by-step explanation:

The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.

(3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2

When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)

The appropriate choice is ...

2; no

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3 years ago

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garik1379 [7]

Answer:

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Step-by-step explanation:

If a point O(x, y) divides line segment XY in the ratio of n:m and the endpoints of the segment are $X(x_1,y_1)\ and\ Y(x_2,y_2)$ , the coordinates of O is:

$x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1$

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Therefore point B divides the line AC in the ratio of 3:1. Let point B be at (x, y), therefore:

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