If a vector v = (3, -4), then what is the value of ||v||?
-1
Square Root 12
5
7

Explanation:

Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).

This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).

In this case, a = 3 and b = -4, which means...

|v| = sqrt(a^2+b^2)

|v| = sqrt(3^2+(-4)^2)

|v| = sqrt(9+16)

|v| = sqrt(25)

|v| = 5

The vector is 5 units long.

Note: we have a 3-4-5 right triangle

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

europa2433

europa2433

step-by-step explanation: