Question

Find 2, −3, , and 3 − 4 for the given vectors and . (Simplify your answers completely.) = 1, 8 , = 2, 6

a) (2, -3), (8, -18), 26, (-10, 34)
b) (2, -3), (-6, -18), 14, (4, 34)
c) (2, -3), (6, -18), 14, (-2, 34)
d) (2, -3), (6, -18), 14, (10, 34)

Answer 1

To find the vectors a, b, c, and d for the given vectors A and B, use the formulas a = A + B, b = A - B, c = A • B, and d = A x B.

Step-by-step explanation:

To find the vectors a, b, c, and d for the given vectors A and B, we can use the following formulas:

a = A + B

b = A - B

c = A • B

d = A x B

Substituting the values A = (1, 8) and B = (2, 6), we get:

a = (1+2, 8+6) = (3, 14)

b = (1-2, 8-6) = (-1, 2)

c = 1*2 + 8*6 = 2 + 48 = 50

d = 1*6 - 8*2 = 6 - 16 = -10

Therefore, the answer is (3, 14), (-1, 2), 50, and -10.