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Answer TRUE or FALSE to the following questions. Then, give at least a few sentences to...

Answer TRUE or FALSE to the following questions. Then, give at least a few sentences to justify your conclusion. A correct answer must include justification. Note, you may not use your calculator on these problems.

1) If a and b are coplanar, then a・b=0

2) If the vectors a and b have equal length, (i.e. ||a||=||b||), then a+b is orthogonal to a - b.

3) The curve generated in polar coordinates from the equation r = 2cos4θis a rose curve with 4 petals.

4) In three dimensions, every vector has a magnitude and a direction.

Math   Calculus   
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