(1 point) let f⃗ =xi⃗ +(x+y)j⃗ +(x−y+z)k⃗ . let the line l be x=3t−5, y=−(1+2t), z=−(3+2t). (a) find a point p=(x0,y0,z0) where f⃗ is parallel to l. p= (x+(3t-5),x+y+(-1-2t),x-y+z-(3+2t)) find a point q=(x1,y1,z1) at which f⃗ and l are perpendicular. q= give an equation for the set of all points at which f⃗ and l are perpendicular. equation:

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 104 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 105 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.

Examine the following sets of events. set a: {1, 5, 7, 9, 14} set b: {2, 5, 6, 8, 14, 17} which of the following represents the intersection of set a and set b ? {∅} {5, 14} {1, 2, 5, 6, 7, 8, 9, 14, 17} {1, 2, 6, 7, 8, 9, 17}

Which is the equation of a line perpendicular to the line with the equation 3x+4y=8