Vectors
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Vectors
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18 Questions

1. Which of the following is a true mathematical operation?
2. What is the resultant vector after adding 12. î-20.ĵ+150.k, 52.î+43.ĵ-1.k, and −23.î-13.ĵ-61.k?
3. Why is A ·(A×B) = 0 a mathematical operation?
4. What is the cross product of 13.0î and −42.0î?
5. Air traffic controllers give “vectors” to inform pilots of the direction (degrees of the compass) in which they should fly. Is this a correct use of vectors? Why or why not?
6. What is the magnitude of this vector, 100. î-200.ĵ+1500.k?
7. If a hiker heads north for 2.0 miles, northeast for 3.0 miles, west for 2.0 miles, and then south for 3.0 miles, what vector describes his final position?
8. Air traffic controllers give “vectors” to inform pilots of the direction (degrees of the compass) in which they should fly. Is this a correct use of vectors? Why or why not?
9. What is the right-hand rule for vector cross products?
10. What is the dot product of 13.0î and −42.0î?
11. What is the dot product of 13.0î and −42.0ĵ?
12. What is the right-hand rule for vector cross products?
13. What is the cross product of 13.0î and −42.0ĵ?
14. What is the cross product of two vectors, A and B?
15. What is the cross product of 13.0î and −42.0î?
16. If a hiker heads north for 2.0 miles, northeast for 3.0 miles, west for 2.0 miles, and then south for 3.0 miles, what vector describes his final position?
17. What is the dot product of two vectors, A and B?
18. A temperature is a scalar because