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CBSE Class 12-science Answered

if vector a =  4 i + 5j – k , vector b = i – 4j + 5 k  and vector c = 3i + j – k, find a vector d  which is perpendicular to both vector a and vector b for which a vector . d vector = 21

        i j and k and k are unit vector

 

Asked by haroonrashidgkp | 01 Nov, 2018, 07:26: PM
Expert Answer
begin mathsize 16px style top enclose straight a equals 4 straight i with hat on top plus 5 straight j with hat on top minus straight k with hat on top
straight b with bar on top equals straight i with hat on top minus 4 straight j with hat on top plus 5 straight k with hat on top
straight d with bar on top equals top enclose straight a cross times straight b with bar on top
straight d with bar on top equals open vertical bar table row cell straight i with hat on top end cell cell straight j with hat on top end cell cell straight k with hat on top end cell row 4 5 cell negative 1 end cell row 1 cell negative 4 end cell 5 end table close vertical bar equals 21 straight i with hat on top plus 21 straight j with hat on top minus 21 straight k with hat on top
Directions space of space vector space straight d with bar on top space are space straight i with hat on top plus straight j with hat on top minus straight k with hat on top
According space to space the space quetsion comma
straight lambda straight d with bar on top times top enclose straight a equals 21
Solving space this space we space get space the space value space of space straight lambda space and space then space find space straight d with bar on top.
end style
Answered by Sneha shidid | 02 Nov, 2018, 05:03: PM
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