Question

6. ( A B C D ) is a parallelogram. ( X ) is the midpoint of ( A B . Y ) and ( Z ) trisect ( C D ). Let ( overrightarrow{X D}=vec{u} ) and ( overrightarrow{X Z}=vec{v} ). Show your work on the diagram as well. Express the vector in terms of ( vec{u} ) and/or ( vec{v} ). Simplify. 6a) ( overrightarrow{A B} ) 6b) ( overrightarrow{B D} )

          6. ( A B C D ) is a parallelogram. ( X ) is the midpoint of ( A B . Y ) and ( Z ) trisect ( C D ). Let ( overrightarrow{X D}=vec{u} ) and ( overrightarrow{X Z}=vec{v} ). Show your work on the diagram as well.
Express the vector in terms of ( vec{u} ) and/or ( vec{v} ). Simplify.
6a) ( overrightarrow{A B} )
6b) ( overrightarrow{B D} )

6. ( A B C D ) is a parallelogram. ( X ) is the midpoint of ( A B . Y ) and ( Z ) trisect ( C D ). Let ( overrightarrowX D=vecu ) and ( overrightarrowX Z=vecv ). Show your work on the diagram as well.
Express the vector in terms of ( vecu ) and/or ( vecv ). Simplify.
6a) ( overrightarrowA B )
6b) ( overrightarrowB D )

Added by Quynh N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

06/03/2023

Step 1

``` A-----B | | X-----C | | Y-----D | | Z-----E ``` Since X is the midpoint of AB, we have $\overrightarrow{AX} = \overrightarrow{XB}$. Also, since Y and Z trisect CD, we have $\overrightarrow{CY} = \overrightarrow{YD} = \overrightarrow{DZ}$. Now, Show more…

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