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let a,b,c be a system of non coplanar vectors.then the system a1,b1,c1 which satisfies a.a1=b.b1=c.c1=1 and a.b1=a.c1=b.a1=b.c1=c.a1=c.b1=0 is called reciprocal system to the vectors a,b,c then 1) a)[a b c][a1 b1 c1]=product of magnitudes of a cross a1,b cross b1 and c cross c1 b)[a b c][a1 b1 c1]=1 c)a cross a1=b cross b1=c cross c1 d)[a b c][a1 b1 c1] 2)a cross a1+b cross b1+c cross c1 is a)null vector b)a non zero vector c){(1/[a b c])power 3}*((a cross a1)cross b) d)is a scalar multiple of a1+b1+c1 3)which of the following is true a)a+b+c=(1/[a1 b1 c1])*[b1 cross c1+c1 cross a1] b)a=(b1 crosss c1)/[a1 b1 c1] c)b=(a1 cross c1)/[a1 b1 c1] d)a+b+c=(1/[a b c])*([a1 cross b1+b1 cross c1]) requesting to reply as soon as possible.

let a,b,c be a system of non coplanar vectors.then the system a1,b1,c1 which satisfies a.a1=b.b1=c.c1=1 and a.b1=a.c1=b.a1=b.c1=c.a1=c.b1=0 is called reciprocal system to the vectors a,b,c then


1) a)[a b c][a1 b1 c1]=product of magnitudes of a cross a1,b cross b1 and c cross c1


    b)[a b c][a1 b1 c1]=1


    c)a cross a1=b cross b1=c cross c1


    d)[a b c][a1 b1 c1]<1


2)a cross a1+b cross b1+c cross c1 is


   a)null vector


    b)a non zero vector


    c){(1/[a b c])power 3}*((a cross a1)cross b)


    d)is a scalar multiple of a1+b1+c1


3)which of the following is true


    a)a+b+c=(1/[a1 b1 c1])*[b1 cross c1+c1 cross a1]


    b)a=(b1 crosss c1)/[a1 b1 c1]


    c)b=(a1 cross c1)/[a1 b1 c1]


    d)a+b+c=(1/[a b c])*([a1 cross b1+b1 cross c1])


requesting to reply as  soon as possible.


 

Grade:

1 Answers

Arun
25763 Points
11 months ago
Dear student
 
I didn't get the question. Please check and repost the question with an attachment. I will be happy to help you

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