AnswersPrecalculusDot Product and Work

Dot Product and Work — Quiz Answers

10 verified answers2 views
1
Free Preview

Given vector u=⟨1,3⟩ and vector v with components one comma negative one , how are the vectors related?

A
The vectors form an acute angle of approximately 27 degrees.
B
The vectors form an acute angle of approximately 81 degrees .
C
The vectors form an obtuse angle of approximately 105 degrees .
D
The vectors form an obtuse angle of approximately 99 degrees .
2
Free Preview

Consider vectors u with components two comma one and v with components four comma negative one with the angle between them equal to 40 degrees What are the scalar projections u sub v and v sub u ?

A
u sub v is equal to 1 point 7 1 and v sub u is equal to 1 point 3 3
B
u sub v is equal to 1 point 7 1 and v sub u is equal to 3 point 1 6
C
u sub v is equal to 1 point 3 3 and v sub u is equal to 1 point 3 3
D
u sub v is equal to 1 point 3 3 and v sub u is equal to 1 point 3 3
5

Which pair of vectors is orthogonal?

A
vector u with components one comma five and vector v with components negative five comma one
B
vector u with components negative three comma two and vector v with components negative two comma one
C
vector u with components two comma one and vector v with components negative four comma three
D
vector u with components two comma three and vector v with components three comma one
6

Consider vector u with components five comma negative two and vector v with components ten comma negative four What is the relationship between vector u and vector v ?

A
The vectors point in opposite directions.
B
The vectors form an acute angle.
C
The vectors point in the same direction.
D
The vectors form an obtuse angle.
8

Suppose \mathbf{u} times \mathbf{v} is equal to 0 Which vectors could represent u and v ?

A
vector u with components three comma four and vector v with components four comma negative three
B
vector u with components negative three comma four and vector v with components four comma negative three
C
vector u with components three comma four and
D
vector u with components negative three comma four and vector v with components negative four comma negative three
9

Given vector u with components one comma three , vector v with components two comma one , and cosine of theta is equal to the fraction with numerator square root of 2 and denominator 2 , where theta is the angle between the vectors, what is the scalar projection u sub v and the dot product u times v ?

A
u sub v is equal to 2 point 2 4 and times u times v is equal to 7 point 0 7
B
u sub v is equal to 1 point 4 1 and u times v is equal to 4 point 4 7
C
u sub v is equal to 7 point 0 7 and times u times v is equal to 15 point 8 1
D
u sub v is equal to 2 point 2 4 and times u times v is equal to 5 point 0 0

Did you find these answers helpful?