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1. If ŌA = 4i + 3j, OB = 6i - 2j, OC = 2i-j, find AB, BC and CA, and deduce the lengths of the sides of the triangle ABC. %3D

1. If ŌA = 4i + 3j, OB = 6i - 2j, OC = 2i-j, find AB, BC and CA, and deduce the lengths of the sides of the triangle ABC. %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 4DE
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1. If ŌA = 4i + 3j, OB = 6i- 2j, OC = 2i-j, find AB, BC and CA, and deduce the lengths of the sides of the triangle ABC. 2. If Ā = 2i + 2j-k and B = 3i- 6j + 2k, find (i) A.B and (ii) ĀXB. 3. Find the direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14). 4. If Ā = 5i + 4j + 2k, B = 4i- Sj +3k, and C = 2i-j- 2k, where i, j, k, are the unit vectors, determine (i) the value of Ā.B and the angle between the vectors A and B. (ii) the magnitude and the direction cosines of the product vector (ĀX B) and also the angle which this product vector makes with the vector C.
Transcribed Image Text:1. If ŌA = 4i + 3j, OB = 6i- 2j, OC = 2i-j, find AB, BC and CA, and deduce the lengths of the sides of the triangle ABC. 2. If Ā = 2i + 2j-k and B = 3i- 6j + 2k, find (i) A.B and (ii) ĀXB. 3. Find the direction cosines of the vector joining the two points (4, 2, 2) and (7, 6, 14). 4. If Ā = 5i + 4j + 2k, B = 4i- Sj +3k, and C = 2i-j- 2k, where i, j, k, are the unit vectors, determine (i) the value of Ā.B and the angle between the vectors A and B. (ii) the magnitude and the direction cosines of the product vector (ĀX B) and also the angle which this product vector makes with the vector C.
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