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:

$5u - 4v = 51i + 3j$

You might be interested in

What is the answer to K/2+1-1k=-2k

Mazyrski [523]

$\dfrac{k}{2}+1-1k=-2k\\\\\dfrac{1}{2}k+1-k=-2k\\\\\left(\dfrac{1}{2}k-k\right)+1=-2k\\\\-\dfrac{1}{2}k+1=-2k\qquad\text{subtract 1 from both sides}\\\\-\dfrac{1}{2}k=-2k-1\qquad\text{add 2k to both sides}\\\\1\dfrac{1}{2}k=-1\qquad\text{convert the mixed number to improper fraction}\\\\\dfrac{1\cdot2+1}{2}k=-1\\\\\dfrac{3}{2}k=-1\qqua\text{multiply both sides by}\ \dfrac{2}{3}\\\\\boxed{k=-\dfrac{2}{3}}$