2. Given the vectors u =<1, -2, 4> and v = <3, 5, 1>: a. Recall that ||u× v|| = ||u||||v|| sin 0 (area of the parallelogram defined by the vectors u and v). This offers a method for finding an angle between these vectors in addition to the dot-product approach. Use this to investigate the angle between these vectors (to the nearest 0.01°). b. Use the dot product approach for finding the angle between two vectors (to the nearest 0.01°). The dot - product involves the cosine of the angle between the vectors. c. Compare the two angle results above. Explain/illustrate the relationship between them. HINT: Think about and use your understanding of inverse trigonometric functions to explain the results. What is the correct angle? 0.5 =1 -0.5 0 0.5 -0.5-
2. Given the vectors u =<1, -2, 4> and v = <3, 5, 1>: a. Recall that ||u× v|| = ||u||||v|| sin 0 (area of the parallelogram defined by the vectors u and v). This offers a method for finding an angle between these vectors in addition to the dot-product approach. Use this to investigate the angle between these vectors (to the nearest 0.01°). b. Use the dot product approach for finding the angle between two vectors (to the nearest 0.01°). The dot - product involves the cosine of the angle between the vectors. c. Compare the two angle results above. Explain/illustrate the relationship between them. HINT: Think about and use your understanding of inverse trigonometric functions to explain the results. What is the correct angle? 0.5 =1 -0.5 0 0.5 -0.5-
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Your Question:
I need help on question 2.
![2. Given the vectors u =<1, -2, 4> and v = <3, 5, 1>:
a. Recall that ||u× v|| = ||u||||v|| sin 0 (area of the parallelogram defined by the vectors u and v). This offers a method for
finding an angle between these vectors in addition to the dot-product approach. Use this to investigate the angle
between these vectors (to the nearest 0.01°).
b. Use the dot product approach for finding the angle between two vectors (to the nearest 0.01°). The dot - product
involves the cosine of the angle between the vectors.
c. Compare the two angle results above. Explain/illustrate the relationship between them. HINT: Think about and use your
understanding of inverse trigonometric functions to explain the results. What is the correct angle?
0.5
=1
-0.5
0
0.5
-0.5-](https://content.bartleby.com/qna-images/question/3d4255ff-fb2c-4a96-a74f-afe9bdd8bccd/5613972c-4e1f-4196-88bc-98e91a6b7979/suf81ju_thumbnail.jpeg)
Transcribed Image Text:2. Given the vectors u =<1, -2, 4> and v = <3, 5, 1>:
a. Recall that ||u× v|| = ||u||||v|| sin 0 (area of the parallelogram defined by the vectors u and v). This offers a method for
finding an angle between these vectors in addition to the dot-product approach. Use this to investigate the angle
between these vectors (to the nearest 0.01°).
b. Use the dot product approach for finding the angle between two vectors (to the nearest 0.01°). The dot - product
involves the cosine of the angle between the vectors.
c. Compare the two angle results above. Explain/illustrate the relationship between them. HINT: Think about and use your
understanding of inverse trigonometric functions to explain the results. What is the correct angle?
0.5
=1
-0.5
0
0.5
-0.5-
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