2 years ago

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]2 years ago

7 0

Answer:

THE ANSWER IS A

Step-by-step explanation:

il63 [147K]2 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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