sportslover496 sportslover496
  • 27-07-2022
  • Mathematics
contestada

Given u = 3i − 8j and v = −4i + 8j, what is u • v? 73 8 −76 −56

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jimthompson5910 jimthompson5910
  • 27-07-2022

Answer:  -76  (choice C)

Explanation:

We're applying the dot product.

u dot v = 3*(-4) + (-8)*8

u dot v = -12 - 64

u dot v = -76

The idea is that we multiply the x coordinates together, and the y coordinates together separately. Afterward you add the products. The result of any dot product is a scalar value, aka a single number.

The dot product is useful in many applications. One of which is to determine if two vectors are orthogonal.

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