30 POINTS TO BRAINLIEST - VECTORS

Vectors a = (3,2) and b = (0,1) are given. Find the components and magnitude of vector c =−2 a +4 b .

Components: -6 and 0

Magnitude: 6

Step-by-step explanation:

To find vector c, first we need to find the vectors -2a and 4b, and then make the sum of them.

If a = (3,2), we have that -2a is:

-2a = -2 * (3,2) = (-2*3, -2*2) = (-6,-4)

If b = (0,1), we have that 4b is:

4b = 4 * (0,1) = (4*0, 4*1) = (0,4)

Now, we can find vector c:

c = -2a + 4b = (-6,-4) + (0,4) = (-6+0, -4+4) = (-6,0)

So the components of c are -6 and 0, and the magnitude is:

magnitude = sqrt((-6)^2 + 0^2) = 6

the correct option is b

step-by-step explanation: