Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
I underlined the answer in red, hope this helps
Answer:
you are correct
all of them except straight and reflex
when angles are supplementary it means that they add up to 180
an acute angle is supplementary to an obtuse angle
an obtuse angle is supplementary to an acute angle
a right angle is supplementary to a right angle
but a reflex angle is over 180 so it's not supplementary to anything
and a straight angle is already 180 so it has no supplements either
34% see explanation below
The total number who likes pizza is 73 and the total number of people surveyed is 215
So it'll just be 73/215 × 100 (for the percentage)
