1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2 units c. 3 units d. 4 units 2. Evaluate (i-2k)•( j +3k) a. 0 b. 1 c. 6 d. -6

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular
a. 1 unit b. 2 units c. 3 units d. 4 units
2. Evaluate (i-2k)•( j +3k)
a. 0 b. 1 c. 6 d. -6
3. What is the volume of a parallelepiped whose edges are represented by A= 2i-3j+4k,
B= i+2j-k, and C= 3i-j+2k
a. 7 cubic units b. 8 cubic units c. 9 cubic units d.10cubic units
4.A vector which is not a null is called
a. resultant vector c. proper vector
b. rectangular vector d. component vectors
5. Which of the following properties will be used when two or more vectors are
perpendicular?
a. dot product c.triple product
b. cross product d. either a or b 

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