Quiz on Vector Calculus

A scalar has both magnitude and direction

• True

• False

Vector A is defined in a rectangular coordinate system as being directed from P1[1,-2,2] to P2[-3,-4,6]. Determine the scalar component in the ax direction.

• -4

• 4

• 2

• -2

Given the vectors

Find:

• 4

• 5

• 6

• 8

Given the vectors find:

Given the vectors: Find

• 22ax + 8ay + 18az

• -22ax + 8ay + 18az

• -22ax - 8ay + 18az

• -22ax + 8ay - 18az

Select the correct surface vector...

• dz ρdφ a_ρ

• dρ dz -a_φ

• dρ dz a_φ

• dρ ρdφ -a_z

• dρ ρdφ a_z

Select the correct surface vector...

• dρ dz a_φ

• dρ ρdφ -a_z

• dρ ρdφ a_z

• dρ dz -a_φ

• dz ρdφ a_ρ

Select the correct surface vector

• dρ ρdφ a_z

• dρ ρdφ -a_z

• dρ dz -a_φ

• dρ dz a_φ

• dz ρdφ a_ρ

Please select the correct surface vector...

• r dθ dr a_ϕ

• - r dθ dr a_ϕ

• r sinθ dϕ dr a_θ

• r sinθ dϕ r dθ a_r

• - r sinθ dϕ dr a_θ

Please select the correct surface vector...

• - r sinθ dϕ dr a_θ

• r sinθ dϕ r dθ a_r

• r sinθ dϕ dr a_θ

• - r dθ dr a_ϕ

• r sinθ dϕ r dθ dr a_r