astengpnysics.com/m Ch01 HW Vector Addition and Subtraction Constants In general

Question

astengpnysics.com/m Ch01 HW Vector Addition and Subtraction Constants In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components Let vectors A = (1,0,-3), B = (-2,5, 1), and C = (3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas.

Explanation / Answer

A = i + 0 j - 3 k

B = -2 i + 5j + k

C = 3 i + j + k

So, A - B = ( i + 0 j - 3 k) - (-2 i + 5j + k)

= 3 i - 5 j -4 k

So, A - B = (3 , -5 , -4) <-------- answer (a)

B - C = -5 i + 4 j + 0 k

So, B - C = ( -5 , 4 , 0 ) <------ answer (b)

-A + B + C = 0 i + 6 j + 5 k

So, - A + B + C = (0 , 6 , 5) <------ answer (c)

3A - 2C = -3 i + 2 j + -11 k

So, 3A - 2C = (-3 , 2 , -11 ) <-------- answer (d)

-2A + 3B -C = -11 i + 14 j - 4 k

= (-11 , 14 , -4) <-------- answer(e)

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