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4 July, 14:29

Given two vectors A⃗ = - 2.00i^ + 4.00 j^ + 4.00 k^ and B⃗ = 1.00 i^ + 2.00 j^-3.00k^, do the following.

|A⃗ | =

Part B

|B⃗ | =

Part C

Write an expression for the vector difference A⃗ - B⃗.

Enter your answers numerically separated by commas.

x, y, z =

Part D

Find the magnitude of the vector difference A⃗ - B⃗.

|A⃗ - B⃗ | =

Part E

Is this the same as the magnitude of B⃗ - A⃗?

Is this the same as the magnitude of?

yes

no

+5
Answers (1)
  1. 4 July, 16:00
    0
    For Part A.

    The absolute value of vector A is

    |A | = 6

    This is simply the square root of the sum of the squares of the coordinates.

    For Part B

    Do the same thing as in Part A

    | B | = √14

    Part C

    Simply subtract the corresponding elements resulting in

    (-3, 2, 7)

    Part D

    √62

    Part E

    Yes
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