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CBSE Class 11-science Answered

If a​​​​​​vector=2i^+2j^+k^,bvector=-1^+j^+2k^ and cvector =3i^+j^ such that avector +lemda b​​​​​​ vector is perpendicular to c​​​​​vector,find lemda

Asked by shamim25ah | 19 Aug, 2019, 05:41: PM
Expert Answer
begin mathsize 14px style a with rightwards arrow on top space equals space 2 space i with hat on top space plus space 2 space j with hat on top space plus space k with hat on top space space
b with rightwards arrow on top space equals space space i with hat on top space plus space space j with hat on top space plus space k with hat on top space
c with rightwards arrow on top space equals space 3 space i with hat on top space plus space space j with hat on top space
a with rightwards arrow on top space plus space lambda space b with rightwards arrow on top space equals space open parentheses 2 plus lambda close parentheses space i with hat on top space plus space open parentheses 2 plus lambda close parentheses space j with hat on top space plus open parentheses 1 plus 2 lambda close parentheses k with hat on top space
i f space a with rightwards arrow on top space plus space lambda space b with rightwards arrow on top space a n d space c with rightwards arrow on top space a r e space p e r p e n d i c u l a r space t h e n space left parenthesis a with rightwards arrow on top space plus space lambda space b with rightwards arrow on top space right parenthesis times left parenthesis space c with rightwards arrow on top space right parenthesis space equals space 0

H e n c e comma space space 3 space left parenthesis 2 plus lambda right parenthesis space plus left parenthesis 2 plus lambda right parenthesis space equals space 0 space space space space space o r space space space lambda space equals space minus 2 end style
Answered by Thiyagarajan K | 19 Aug, 2019, 06:14: PM
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