3-D Vector Quiz

Determine the unit vector having the direction of the vector i + 5j.

• $<1,5>$

• $\frac{1}{\sqrt{26}}+\frac{5}{\sqrt{26}}$

• $\frac{1}{\sqrt{26}}i+\frac{5}{\sqrt{26}}j$

• $\sqrt{26}$

In which octant will the ordered triple terminate? (6, -7, -3)

• 5

• 3

• 7

• 8

Tags

CCSS.6.NS.C.6C

Find vector PQ in component form.

P(3, -2, 4)

Q (-1, -2, -3)

• < -4, 0 , -7>

• <4, 0, 7>

• < -4, 0 7>

• <4, 0, -7>

Tags

CCSS.HSN.VM.A.2

Determine a vector having the direction of the given vector and with the length of 12.

i + 2j -2k

• $\frac{1}{3}i+\frac{2}{3}j-\frac{2}{3}k$

• $\frac{1}{2}i+\frac{2}{3}j+\frac{2}{3k}$

• $4i+8j-8k$

• $4i+8j+8k$

Find the dot product of the following vectors.

A = 2i - 2j -k

B = 16i + 8i +2k

• 46

• 50

• 22

• 14

Find the angle between the following vectors.

A = 2i - 2j -k

B = 16i + 8i +2k

• 75 degrees

• 84 degrees

• 97 degrees

• 102 degrees

Determine whether the given vectors are perpendicular, parallel or neither.

A=3i+4j-8k
B=4i-7j-2k
 $\$  

• perpendicular

• parallel

• neither

Determine whether the given vectors are perpendicular, parallel, or neither.

A = 2i - 3j - 4k

B = -6i +9j +12k

• perpendicular

• parallel

• neither

What type of plane is sketched by the following equation?

x + 2y +3z - 6 = 0

• line

• point

• triangular plane

• quadrilateral plane