This question relates to three vectors defined as p = j- 3k, q =-2i -j- 3k and r= 4i +j+ 3k, where i, j and k are Cartesian unit vectors. In this question you should express all vectors in the form a1i + azj + azk, where a1, a2 and a3 are specific numbers. Magnitude of vector q is V14 Unit vector in the direction of q, The sum of the vectors s=p+q+r, S = 2i + j- 3k Scalar productsxr, (2i +j-3k) x (4i +j+3k) = 8+1-9 = 0 1. Find the cosine of the angle between s and r. What can you deduce about the relative orientation of these two vectors? 2. Calculate the vector product q x r.
This question relates to three vectors defined as p = j- 3k, q =-2i -j- 3k and r= 4i +j+ 3k, where i, j and k are Cartesian unit vectors. In this question you should express all vectors in the form a1i + azj + azk, where a1, a2 and a3 are specific numbers. Magnitude of vector q is V14 Unit vector in the direction of q, The sum of the vectors s=p+q+r, S = 2i + j- 3k Scalar productsxr, (2i +j-3k) x (4i +j+3k) = 8+1-9 = 0 1. Find the cosine of the angle between s and r. What can you deduce about the relative orientation of these two vectors? 2. Calculate the vector product q x r.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I have attached my answers to the previous questions but both 1&2 I have no idea how to calculate.
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This question relates to three vectors defined as p = j- 3k, q = -2i -j-3k and r = 4i + j+ 3k, where
i, j and k are Cartesian unit vectors. In this question you should express all vectors in the form aji +
azj + azk, where a1, az and a3 are specific numbers.
Magnitude of vector q is
V14
Unit vector in the direction of q,
i+) +(k)
The sum of the vectors s=p+q+r,
S= 2i +j- 3k
Scalar productsxr,
(2i +j-3k) x (4i + j+ 3k) = 8+1- 9 = 0
1. Find the cosine of the angle between s and r. What can you deduce about the relative
orientation of these two vectors?
2. Calculate the vector product q x r.
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