Consider the vectors ~a1 = (−1, 2, 2), ~a2 = (2, 2, −1), and ~a3 = (2, −1, 2). (a) Compute the projection matrices P1 and P2 onto the lines in the direction of ~a1 and ~a2, respectively. Multiply those projection matrices and explain why their product is what it is.

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c

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answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

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the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)