Quiz Chapter 02: Vectors

 MULTIPLE CHOICE TEST VECTORS

1. A set of equations

• $4x_{1} + 7x_{2} + 11x_{3} = 13$
• $17x_{1} + 39x_{2} + 23x_{3} = 31$
• $13x_{1} + 67x_{2} + 59x_{3} = 37$

can also be written as

2. The magnitude of the vector, $V=\left( 5, \, -3, \, 2 \right)$ is

3. The rank of the vector $\vec{A} \, \begin{bmatrix} 2\\3\\7\\ \end{bmatrix}, \, \begin{bmatrix} 6\\9\\21\\ \end{bmatrix}, \, \begin{bmatrix} 3\\2\\7\\ \end{bmatrix}$ is

4. If $\vec{A}=\left(5, \, 2, \, 3 \right)$ and $\vec{B}=\left(6, \, -7, \, 3 \right)$, then $4\vec{A} + 5\vec{B}$ is

5. The dot product of two vectors $\vec{A}$ and $\vec{B}$

• $\vec{A} = 3i + 5j + 7k$
• $\vec{B} = 11i + 13j + 17k$

is most nearly

6. The angle in degrees between two vectors $\vec{u}$ and $\vec{v}$

• $\vec{u} = 3i + 5j + 7k$
• $\vec{v} = 11i + 13j + 17k$

is most nearly