7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB= +- (²+²) 4 -2 Find a) the value of the constant p for which the angle BOA = 90⁰ b) the unit vector in the direction of AB when p = 2 c) the position vector of the foot of the perpendicular from point A to the line which passes through O and B in the case where p = -1.

7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB= +- (²+²) 4 -2 Find a) the value of the constant p for which the angle BOA = 90⁰ b) the unit vector in the direction of AB when p = 2 c) the position vector of the foot of the perpendicular from point A to the line which passes through O and B in the case where p = -1.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

See similar textbooks

Similar questions

We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to the Irish mathematician William Rowan Hamilton. Hamilton considered his greatest achievement to be the discovery of qualernions, which he (incorrectly) predicted would revolutionize physics. Research the subject of quaternions. What are they? Why did quaternions fail to be as useful for physics as Hamilton predicted? How are quaternions useful, instead, for 3.D computer graphics? Write a paragraph or two about your findings.

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning