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

Step-by-step explanation

We can find the magnitude of the given vectors below.

Part A

`||4,4||=√(4^2+4^2)=√(16+16)=√(32)=4√(2)`

Answer: 4sqrt(2)

Part B

`||\left(-10,10\right)||=√(10^2+(-10)^2)=√(100+100)=√(200)=10√(2)`

Answer: 10sqrt(2)

Part C

`||7,-7||=√(7^2+(-7)^2)=√(49+49)=√(98)=7√(2)`

Answer: 7sqrt(2)

Part D

`||\left(-2,-10\right)||=√((-2)^2+(-10)^2)=√(4+100)=√(104)=2√(26)`

Answer: 2sqrt(26)