Question

The vector v = (6,x) has a magnitude of 10. What could be the value of x?A. 4B. 6C. 8D. 10Please show how to get answer, if you can.

Answer 1

C. 8

1) Given that the magnitude or the norm of that vector is 10. Let's find the unknown coordinate

2) Let's start on that sketch. Plugging into the norm notation the value of the magnitude:

And continue down

x²=100-36

x²=64

x= 8

So the vector v <6,8> has a magnitude of 10.