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(b) (c) Given that a(x)=0, show that ã•(¯ × (c − ã))=ã ● (ã×b). Hence, given that à =< 1,2,-2 >, b =< 2,0,-1> and c =< m,3,1 >, find the value of m. (8 marks) The line, has a vector equation r = 3 i + a(2 i-3 j+k). Show that the line ₁ intersects with the line r = 2 j-4k+ ß(i+j+3 k ) and find the position vector

(b) (c) Given that a(x)=0, show that ã•(¯ × (c − ã))=ã ● (ã×b). Hence, given that à =< 1,2,-2 >, b =< 2,0,-1> and c =< m,3,1 >, find the value of m. (8 marks) The line, has a vector equation r = 3 i + a(2 i-3 j+k). Show that the line ₁ intersects with the line r = 2 j-4k+ ß(i+j+3 k ) and find the position vector

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) (c) Given that a (x)=0, show that ä• (b× (ē- ä)) = ä● (ä×b). Hence, given that à =< 1,2,-2 >, b =< 2,0,-1> and =< m,3,1 >, find the value of m. (8 marks) The line, has a vector equation r = 3 i + a(2 i-3 j+k). Show that the line ₁ intersects with the line r = 2 j-4k+ ß(i+j+3k ) and find the position vector
Transcribed Image Text:(b) (c) Given that a (x)=0, show that ä• (b× (ē- ä)) = ä● (ä×b). Hence, given that à =< 1,2,-2 >, b =< 2,0,-1> and =< m,3,1 >, find the value of m. (8 marks) The line, has a vector equation r = 3 i + a(2 i-3 j+k). Show that the line ₁ intersects with the line r = 2 j-4k+ ß(i+j+3k ) and find the position vector
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