Find the vector of length 2 making an angle of 45^/circ with the x-axis. round to 6 decimals places or give an exact answer in terms of sine and cosine.

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Mathematics

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Find the vector of length 2 making an angle of 45^/circ with the x-axis. round to 6 decimals places or give an exact answer in terms of sine and cosine.

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Sutton · Answer 1

For this case we have the following vector:

v = 2 * (cosine (45) i + sine (45) j)

Rewriting we have:

v = 2 * (cosine (45) i + sine (45) j)

v = 2 * ((0.707107) i + (0.707107) j)

v = (1.414214) i + (1.414214) j

Answer:

the vector of length 2 making an angle of 45 with the x-axis is:

v = (1.414214) i + (1.414214) j