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(g) the (vector) projection of b onto a where projab = compāb·la 2. Find a vector perpendicular to both vectors a = 3i - 4j and b = 2i+j+ 3k. 2 For the matrices A and B given below find ABT BA detA and A¹.

(g) the (vector) projection of b onto a where projab = compāb·la 2. Find a vector perpendicular to both vectors a = 3i - 4j and b = 2i+j+ 3k. 2 For the matrices A and B given below find ABT BA detA and A¹.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve problem 2 with explanation please.
1. For the vectors a =(3,2,-1) and b =(4,0,5) find: (a) 3ā - 26; (b) their dot product; (d) a unit vector in the direction of a ; (c) their cross product; (e) the angle between the vectors; a.b (f) the component of b along a where compab = (also called scalar Tāl projection of b onto a (g) the (vector) projection of b onto a where projab = compab. 2. Find a vector perpendicular to both vectors à = 37 - 4j and b = 2i+j+3k. 3. For the matrices A and B given below, find ABT, BA, detA and A¹: 1 3 1 1 4 2 -1 5. Solve A = 2 4. Find the inverse matrix of 6. Solve - 1 x = y + 2z = 1 2x+3z=7 |-x+2y+z=5 B = 2 -1 4 5 1 0 3 2 1 -2 ā Tāl . Then verify the answer is correct. using Cramer's rule. x+2z=-5 -x+2y+z=0 using the inverse matrix method: if Ax=b, then x = A¹.b. 111115
Transcribed Image Text:1. For the vectors a =(3,2,-1) and b =(4,0,5) find: (a) 3ā - 26; (b) their dot product; (d) a unit vector in the direction of a ; (c) their cross product; (e) the angle between the vectors; a.b (f) the component of b along a where compab = (also called scalar Tāl projection of b onto a (g) the (vector) projection of b onto a where projab = compab. 2. Find a vector perpendicular to both vectors à = 37 - 4j and b = 2i+j+3k. 3. For the matrices A and B given below, find ABT, BA, detA and A¹: 1 3 1 1 4 2 -1 5. Solve A = 2 4. Find the inverse matrix of 6. Solve - 1 x = y + 2z = 1 2x+3z=7 |-x+2y+z=5 B = 2 -1 4 5 1 0 3 2 1 -2 ā Tāl . Then verify the answer is correct. using Cramer's rule. x+2z=-5 -x+2y+z=0 using the inverse matrix method: if Ax=b, then x = A¹.b. 111115
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a=3i-4j

b=2i+j+3k.

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