Question

Find a vector a with representation given by the directed line segment AB. A(0, 5, 2), B(1, 5, -2) Draw AB and the equivalent representation starting at the origin. z A(0, 5, 2) y B(1, 5, -2) x a z a A(0, 5, 2) y B(1, 5, -2) x z A(0, 5, 2) y B(1, 5, -2) x a z A(0, 5, 2) y B(1, 5, -2) x a

          Find a vector a with representation given by the directed line segment AB.
A(0, 5, 2), B(1, 5, -2)
Draw AB and the equivalent representation starting at the origin.
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a
z
a
A(0, 5, 2)
y
B(1, 5, -2)
x
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a

Find a vector a with representation given by the directed line segment AB.
A(0, 5, 2), B(1, 5, -2)
Draw AB and the equivalent representation starting at the origin.
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a
z
a
A(0, 5, 2)
y
B(1, 5, -2)
x
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a
z
A(0, 5, 2)
y
B(1, 5, -2)
x
a

Added by Calvin G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Harbir S

02/28/2022

Step 1

** To find the components of the vector, we subtract the coordinates of the initial point A from the coordinates of the terminal point B: \begin{align*} \overrightarrow{AB} &= \begin{pmatrix} 1 \\ 5 \\ -2 \end{pmatrix} - \begin{pmatrix} 0 \\ 5 \\ 2 \end{pmatrix} Show more…

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Find a vector a with representation given by the directed line segment AB. A(0, 5, 2), B(1, 5, -2) Draw AB and the equivalent representation starting at the origin.