8.1/8.2 Quiz

A vector has both ____ and ______?

• Speed and length

• Magnitude and direction

• Degrees and radians

• Style and grace

If w=<2,-5> and y= <2,0> find w+ y

• <-10,2>

• <-6,10>

• <4,-5>

• <6!-10>

Find the magnitude of the vector <-5,12>

• 13

• 7

• 10.91

• 17

If the dot product is equal to zero, then what do we know about the two vectors?

• They are parallel

• They are unit vectors

• They are perpendicular

• They are both zero vectors

Find the direction angle for the vector <-8,3>

• 200.6 ^o

• 110.6^o

• 159.4^o

• 172.5^o

Write each vector in component form: magnitude = 12 and direction = 125^o

• <-9.9, 6.9>

• <9.9, -6.9>

• <-6.9, 9.8>

• <6.9, -9.8>

Determine the magnitude of the vector <8,37>

• 13.9

• 36.1

• 37.9

• 25.2

Two forces with a magnitude of 32N and 45N with a 35^o angle in between. Determine the magnitude of the resultant.

• 5408.2

• 26.3

• 689.8

• 73.5

Find the angle between <-9,-5> and <-6,-2>

• 17.8^o

• 10.6^o

• 67.3^o

• 93.2^o

Find the dot product of <1,-2> and <3,2>

• 1

• 7

• -1

• 12