3. For the vectors A = [3], B = [¹3] a) Sketch both vectors b) Determine the magnitude of each vector and the direction of each vector with respect to the x-axis. c) Determine the angle between A and B. d) For the column vector A, state the transformation matrix and the resulting vector when: 1) A is stretched by a factor of 2 along the x axis 2) A is rotated 45° counterclockwise.
3. For the vectors A = [3], B = [¹3] a) Sketch both vectors b) Determine the magnitude of each vector and the direction of each vector with respect to the x-axis. c) Determine the angle between A and B. d) For the column vector A, state the transformation matrix and the resulting vector when: 1) A is stretched by a factor of 2 along the x axis 2) A is rotated 45° counterclockwise.
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![3. For the vectors A =
[3], B = [¹3]
a) Sketch both vectors
b)
Determine the magnitude of each vector and the direction of each vector with respect to
the x-axis.
c) Determine the angle between A and B.
d) For the column vector A, state the transformation matrix and the resulting vector when:
1) A is stretched by a factor of 2 along the x axis
2) A is rotated 45° counterclockwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71e6d0dc-295a-4209-856a-8199ee360604%2F3c3feb75-2984-4f42-a49c-f87d18ab58b4%2Fesbyyua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. For the vectors A =
[3], B = [¹3]
a) Sketch both vectors
b)
Determine the magnitude of each vector and the direction of each vector with respect to
the x-axis.
c) Determine the angle between A and B.
d) For the column vector A, state the transformation matrix and the resulting vector when:
1) A is stretched by a factor of 2 along the x axis
2) A is rotated 45° counterclockwise.
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