Expert answer:Trigonometry Vectors

Answer & Explanation:I need help with vectors.See attached document.Vectors
vectors.doc

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Vectors
1.
Which of the following are true statements? Select all that apply.
A.
B.
C.
D.
A vector does not have direction.
A scalar does not have direction.
A vector always has a magnitude and a direction.
A scalar does not have magnitude.
2.
Which of the following symbols represents a vector with
magnitude equal to 10?
A.
3.
B.
C.
D.
What are the components of the following vector?
A. (1,2)
B. (-3,4)
C. (-4,4)
D. (-4,2)
4. What is the magnitude of the sum of the following vectors?
A. 3
B. 5
C. 7
D.
5. Which of the following pairs of vectors sum of their magnitudes
does NOT equal the magnitude of their sum?
A.
and
B.
and
C.
and
D.
and
6. Perform the scalar multiplication for the following:
A. (7,3)
B. (12,-1) C. (1,5)
D. (12,-4)
.
7. Given
and
, find
.
A. (5,5)
B. (4,4)
C. (-3,-3)
8. Compute the following magnitude :
D. (3,3)
.
A.
D.
B. 40
C.
9. Multiply the following vector and matrix:
A.
B.
C.
and
D.
10. Multiply the following vector and matrix:
A.
B.
11. Given
graphically?
C.
and
.
and
D.
, which graph represents
.
A.
B.
C.
12. Given
graphically?
D.
and
, which graph represents
A.
B.
C.
D.
13. After one hour in flight, an airplane is located 100 miles north
and 200 miles west of the airport. What is the velocity of the
plane? Round your answer to the nearest mile per hour.
A. 100 mph
B. 200 mph
C. 210 mph
D. 224 mph
14. After one hour in flight, an airplane is located 200 miles north
and 300 miles west of the airport. What direction is the plane
traveling? Round your answer to the nearest degree.
A. 34 degrees north of west
C. 56 degrees north of west
15. Given
A. (5,5)
and
B. (4,4)
B. 34 degrees north of east
D. 56 degrees north of east
, find
C. (-3,-3)
.
D. (3,3)
…
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