7. (a) (5 points) Use the properties of determinant to prove that a b c b c a c a b = (a + b + c)(ab + bc + ca − a 2 − b 2 − c 2 ). (b) (4 points) Use the result in part (a) to calculate the volume of parallelepiped with adjacent edges represented by the vectors u = (2, 3, 5), v = (3, 5, 2), and w = (5, 2, 3). (Your solution should clearly reflect the use of part (a), to receive any credit.)

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.