Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
The sides from least to greatest are AB, BC, AC
Answer:
There are 719,115.8179 KG of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
Answer:
Loss percentage = 40% (Approx)
Step-by-step explanation:
Given:
Cost price of home = $182,000
Sales price = $110,000
Find:
Loss percentage
Computation:
Loss = Cost price - Sales price
Loss = $182,000 - $110,000
Loss = $72,000
Loss percentage = [Loss / Cost price]100
Loss percentage = [72,000 / 182,000]100
Loss percentage = 39.5604
Loss percentage = 40% (Approx)
