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sdas [7]
3 years ago
5

Given vectors u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

THE ANSWER IS A

Step-by-step explanation:

il63 [147K]3 years ago
5 0

Answer:

5u - 4v = 51i + 3j

Step-by-step explanation:

The given vectors are u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j.

We substitute the vectors to get:

5u - 4v = 5(7i + 3j) - 4( - 4i + 3j)

We perform the scalar multiplication to get:

5u - 4v = 35i + 15j  + 16i  - 12j

Group the components;

5u - 4v = 35i  + 16i   + 15j- 12j

We simplify to get:

5u - 4v = 51i   + 3j

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Step-by-step explanation:

Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D

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Step-by-step explanation:

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