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adoni [48]
4 years ago
15

Find the inner product for (7.2) (0,-2) and state whether the vectors are perpendicular.

Mathematics
1 answer:
mylen [45]4 years ago
3 0

Answer:

a. -4; no

Step-by-step explanation:

Suppose we have two vectors, a and b.

a = (1,2)

b = (2,3)

Their inner product is:

a.b = (1,2).(2,3) = 1*2 + 2*3 = 8

The vectors are perpendicular if their inner product is 0.

In this question:

a = (7,2)

b = (0,-2)

So

a.b = (7,2).(0,-2) = 7*0 + 2*(-2) = -4

-4 is different of 0, so they are not perpendicular.

So the corret answer is:

a. -4; no

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