Section: Engineering Mathematics | Type: NAT | Marks: 2
Let 3 denote the three dimensional Euclidean space and ˆ ˆ ˆ ( , , ) x y z yi x j z k =− + + F for all 3 ( , , ) . x y z ∈ If C is the curve described by the parametric equation 2 ˆ ˆ ˆ ( ) cos sin 2 , 0 1, t t i t j t k t = + + ≤≤ r then the value of the line integral d C ⋅ ∫F r is_______________
Answer: 3