Quiz 1: Operations with Vectors

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What is the length of the vector v = (1,4,-3,3,1) *

1 point

Let u = (1,-1,3,5) and v = (2,1,0,-3). Find the scalars a,b so that au+bv = (1,-4,9,18). *

1 point

a = 3, b = -1

a = -1,b = 3

a = 1,b = -3

a = -3, b = 1

For what values of k, if any, the vectors u = (1,k,k) and v = (6,5,k) are orthogonal. *

1 point

-3

-2

-3 and -2

None of them

3 and -2

Which of the following vectors are parallel to u = (-2,1,0,3,5,1) *

1 point

(4,2,0,6,10,2)

(4,-2,0,-6,-10,-2)

(0,0,0,0,0,0)

(4,-2,0,6,-10,-2)

Let u = (1,4,2) and v = (-3,4,1). What is u+v = ? *

1 point

(4,8,3)

(-2,8,1)

(-2,8,3)

Find the terminal point of the vector which is equivalent to u = (1,2) and whose initial point A(1,1). *

1 point

(2,3)

(0,1)

(1,2)

(3,2)

Evaluate the following expressions with u = (2,-2,3), v = (1,-3,4) and w = (3,6,-4).

Find ||u||+||v|| *

1 point

9.11

9.22

3.46

21.58

Find ||-2u+2v|| *

1 point

9.11

6.92

3.46

21.58

Find ||u+v|| *

1 point

9.11

9.22

3.46

21.58

Find ||3u-5v+w|| *

1 point

9.11

9.22

3.46

21.58

Let u = (3,1,4) and v = (2,2,-4)

Evaluate the scalar product u*v *

1 point

Evaluate the scalar product v*v *

1 point

Evaluate the scalar product u*u

1 point

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