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

Question

Sweet Tea

Physics

1 June, 15:46

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)

Know the Answer?

Mike Reese · Answer 1

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