This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: P (1 , 1 , 1), Q (2 , , 1) and R (3 ,1 , 4) and get PQ = ij and PR = 2 i2 j + 3 k . The area of the triangle is equal to  PQ PR  / 2 = 3 2 / 2. Problem 5. Find the volume of the parallelepiped determined by the vectors a , b and c where a = i + jk , b = ij + k , c = 2 i2 j + 3 k . Solution: The volume is equal to the absolute value of the triple product abc . Thus V = 1 11 11 11 1 1 = 4 , since the determinant is positive. 1 Problem 6. A wagon is pulled a distance of 100 m along the horizontal path by a constant force of 50 N. The handle of the wagen is held at an angle of 30 above the horizontal. How much work is done? Answer: W = F S = 50 100 cos 30 = 5000 3 / 2 Nm....
View
Full
Document
 Fall '08
 Keeran
 Calculus, Vectors

Click to edit the document details