Given a = [-2,7], b = [1,1], and c = [-2,-1], determine a*(b+c)
assuming you mean a•(b+c) that would be
[-2,7]•[1-2,1-1] = [-2,7]•[-1,-2] = (-2)(-1)+(7)(-2) = 2-14 = -12
Ya, sorry.
Thanks though!!
To multiply vectors, we simply multiply each corresponding component of the vectors and then sum up the results.
Let's compute a * (b + c) using the given vectors:
a = [-2, 7]
b = [1, 1]
c = [-2, -1]
First, we need to compute the sum of vectors b and c:
b + c = [1, 1] + [-2, -1] = [1 + (-2), 1 + (-1)] = [-1, 0]
Now, we can multiply vector a by the sum (b + c):
a * (b + c) = [-2, 7] * [-1, 0]
To compute the multiplication, we multiply each corresponding component of the vectors and then sum up the results:
-2 * (-1) + 7 * 0 = 2 + 0 = 2
Therefore, a * (b + c) = 2.