Question

(1 point)Determine the magnitude of each vector:• Use "sqrt()" to denote✓• If you use a decimal approximation, you must be accurate to at least 3 decimal places.a. || (4,4) || =b. ||(-10, 10) || =c. || (7,-7) || =d. ||(-2,-10) || =Note: You can earn partial credit on this problem.

Answer 1

Explanation

We can find the magnitude of the given vectors below.

Part A

$||4,4||=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{32}=4\sqrt{2}$

Answer: 4sqrt(2)

Part B

$||\left(-10,10\right)||=\sqrt{10^2+(-10)^2}=\sqrt{100+100}=\sqrt{200}=10\sqrt{2}$

Answer: 10sqrt(2)

Part C

$||7,-7||=\sqrt{7^2+(-7)^2}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}$

Answer: 7sqrt(2)

Part D

$||\left(-2,-10\right)||=\sqrt{(-2)^2+(-10)^2}=\sqrt{4+100}=\sqrt{104}=2\sqrt{26}$

Answer: 2sqrt(26)