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Practice Question: Direction Vector

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Wize University Linear Algebra Textbook > Vectors

Basics of Vectors

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Practice Question: Direction Vector

Which of the following vectors is not parallel to the line passing through the points (1,2) and (−3,4)?(1,2)\ and\ (−3,4)?
a.) (5, −52)\left(5,\ -\frac{5}{2}\right)
b.) (6, −3)\left(6,\ -3\right)
c.) (−2, 1)\left(-2,\ 1\right)
d.) (−12, 14)\left(-\frac{1}{2},\ \frac{1}{4}\right)
e.) (14, −12)\left(\frac{1}{4},\ -\frac{1}{2}\right)

More Basics of Vectors Questions:
Basics of Vectors
Practice: Basics of Vectors
Examine the following graph.
Find the vector u⃗\vec{u} which has the opposite direction as v⃗=[1−82]T\vec{v}=\begin{bmatrix}1&-8&2\end{bmatrix}^T but half the length.
Find the vector u⃗\vec{u} which has the opposite direction as v⃗=[1−82]T\vec{v}=\begin{bmatrix}1&-8&2\end{bmatrix}^T but half the length.
Given the points A(0,−1,3)A\left(0,-1,3\right) and B(5,−6,−2)B\left(5,-6,-2\right), find BA⃗+AB⃗\vec{BA}+\vec{AB}.
*Type any vector answers in the form (a, b, c)
special unit vector concept clarifier
Wize Concept Clarifier:
Express 𝑣⃗=(15,0,−2)\vec{𝑣} = (15, 0, −2) in terms of special unit vectors
The coordinates of four corners of a Parallelogram ABCDABCD in a Clock-Wise order are A=(1,3)A=(1,3), B=(−1,5)B=(-1,5), CC and D=(4,7)D=(4,7). Find missing coordinates of CC.
Concept Clarifier
The coordinates of four corners of a Parallelogram ABCDABCD in a Clock-Wise order are A=(1,3)A=(1,3), B=(−1,5)B=(-1,5), CC and D=(4,7)D=(4,7). Find missing coordinates of CC.
Practice: Scalar or Vector?
Each of the following is either a scalar or a vector quantity.
Select all of the vector quantities in the list.
Fill in the blanks.
A vector quantity has both a ____[A]____ and a ____[B]______ while while scalar quantities have only a _____[C]______
Practice: Vector Properties
Given the points A(1, −3,2)A\left(1,\ -3,2\right), B(0, 1, 1)B\left(0,\ 1,\ 1\right), C(4, −15, 5)C\left(4,\ -15,\ 5\right), wich of the following statements is/are true?
(Select all that apply)
Practice: Vector Operations
A parallelogram has sides ABAB, BCBC, CDCD and DADA
The following coordinates are known: A(2,0,1)A(2,0,1), C(6,0,0)C(6,0,0), and M(3,1,0)M(3,1,0), where MM is the midpoint between AA and BB
Find the vector BD⃗\vec{BD}
$\tkcth{Moved }\bcth{\to} \key{ Mid} \tkco{ S } \tkcth{ch 3 quiz ✓}$ | Proofed. 19.1W
The vector going from the point P1(−1,1,−4)P_1(-1,1,-4) to the point P2(1,4,2)P_2(1,4,2) is:
Practice: 2D Vectors
Practice: 2D Vectors
Given the diagram below, answer the following questions.