Question

Let

F = ay i  + bz j  + cx k 
where a, b, and c are positive constants. Let C be the triangle obtained by tracing out the path from (6, 0, 0) to (6, 0, 3) to (6, 8, 3) to (6, 0, 0). Find



integral F · dr

Answer 1

so the curlF is -bi-cj-ak

but I not sure how to find dA

Answer 2

would the area of the triangle be 12??

Answer 3

@perl can you help me please

Answer 4

@eliassaab can you help me with this problem professor

Answer 5

@SolomonZelman can you help me please

Answer 6

curl = -bi-cj-ak
n= -i
curl .n = b
b Area of the rectangle= b 3 x 8/2=12 b

Answer 7

thanks that's exactly what i got