Question

For the following vectors:
a = (1,-5,9), b = (-4,12,-6), c = (-3,5,-7)
Calculate the following:
a) a+b
b) b-c
c) 2a

Answer 1

Answer on Question #52357 – Math – Vector Calculus

For the following vectors:

a = (1,-5,9), b = (-4,12,-6), c = (-3,5,-7)

Calculate the following:

a) a+b

b) b-c

c) 2a

Solution

A = (1,-5,9)

B = (-4,13,-6)

C = (-3,5-7)

a) A + B = (Aₓ + Bₓ, Aᵧ + Bᵧ, A_z + B_z) = (1-4,-5+13,9-6) = (-3,12,3)

b) B - C = (Bₓ - Cₓ, Bᵧ - Cᵧ, B_z - C_z) = (-4-3,13-5,-6+7) = (-7,8,1)

c) 2A = (2Aₓ, 2Aᵧ, 2A_z) = (2,-10,18)

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