Ch 7 Calculus Practice Quiz #2 for Unit test PDF

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Summary

Has questions to prepare one for the chapter 7 calculus test. Has all the questions and no answers. For students to try....

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MCV 4U0 2nd Chapter 7 Quiz

Name:

1) Fill in the table with regards to points plotted in 3-space. Co-ordinate (-8, 3, 0) (0, 0, 9) (0, -2, 12) (3, -13, 5) (-1, 0, 3) (0, -7, 0) (1, 0, 0)

On a Plane/Axis?

Which Plane/Axis?

Not on a Plane or Axis

2) Given the vectors A =[2, 3, -5], B =[8, -4, 3], and C =[-6, -2, 0], simplify or evaluate the following: a) A + B + C

b)

| B +C |

c)

AC

3) Are the vectors [4, 2, 6] and [6, 3, 9] collinear? How do you know?

4) The points A(1, 1, 1), B(-2, 0, -4), C(1,2,-3), and D(4,3,2) are the vertices of a parallelogram. Find the Area of the parallelogram, and find the Area of Triangle ABC.

5) Find the volume of the parallelepiped, defined by the vectors A =[-1, 2, 1], B =[1, -1, -1], and C =[1, 1, -2].

6) Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i , j , and k .

b) Find the magnitude of AB .

c) Determine a unit vector u in the direction of AB .

7) Find a vector that is orthogonal to [3, 1, 3].

8) Given u = [2, 2, 3], v = [1, 3, 4], and w = [6, 2, 1], evaluate the following expressions: a) | u x u | + u  u

b) u x v  v x w

9) A triangle has vertices A(-3, 0, 2), B(6, 7, -5), and C(4, -1, 1). Determine the area of ∆ABC....