Consider A (0, 5, –1), B = (6, –1, 0) and C = (-4,0, 3). 1 A +B. 3 (i) Find the unit vector having the same direction as 2C (ii) Draw the vector you obtained in Part (i). (iii) Find all scalars a, b and c such that (a – 1)A – bB = cC. (iv) Solve for projĄB.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Consider A = (0, 5, –1), B = (6, –1,0) and C = (-4,0, 3).
1
(i) Find the unit vector having the same direction as 2C – A + =B.
3
(ii) Draw the vector you obtained in Part (i).
(ii) Find all scalars a, b and c such that (a – 1)A – bB = cC.
-
(iv) Solve for projĄB.
Transcribed Image Text:Consider A = (0, 5, –1), B = (6, –1,0) and C = (-4,0, 3). 1 (i) Find the unit vector having the same direction as 2C – A + =B. 3 (ii) Draw the vector you obtained in Part (i). (ii) Find all scalars a, b and c such that (a – 1)A – bB = cC. - (iv) Solve for projĄB.
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