Evaluate geometric vectors

Practice Questions

Pre-Calculus › Evaluate geometric vectors

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1

Determine the product: $2\cdot \left \langle -2,-4,5\right \rangle$

2

$\vec{A}=1.00i+2.00j$

$\vec{B}=3.00i-1.00j$

Find $\vec{A}+\vec{B}$ .

3

$\vec{A}=-i-2j$

What are the magnitude and angle, CCW from the x-axis, of $2\vec{A}$ ?

4

Find the norm of the vector $\vec{v}=[2,4,3]$ .

5

Express a vector with magnitude 2.24 directed 63.4° CCW from the x-axis in unit vector form.

6

Vector $\vec{A}$ has a magnitude of 3.61 and is at an angle of 124° CCW from the x-axis. Vector $\vec{B}$ has a magnitude of 2.24 at an anlge of 63.4° CCW from the x-axis.

Find $2\vec{A}-\vec{B}$ using the parallelogram graphical method.

7

$\vec{A}=-2.00i+3.00j$

$\vec{B}=-1.00i-2.00j$

Find the magnitude and angle CCW from the x-axis of $\vec{A}-\vec{B}$ using the nose-to-tail graphical method.

8

Vector $\vec{A}$ has a magnitude of 3.61 and a direction 124° CCW from the x-axis. Express $2\vec{A}$ in unit vector form.

9

Find the product of:

$3\cdot \left \langle -2,3\right \rangle$

10

Find the product of the vector $\vec{r}= 11\hat{i}+7\hat{j}$ and the scalar .

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