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|(x,1,y+z),(y,1,z+x),(z,1,x+y)|=...

`|(x,1,y+z),(y,1,z+x),(z,1,x+y)|=`

A

`1+x+y+z`

B

`x+y+z`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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Assertion (A): A(x_(1),y_(1),z_(1)), B(x_(2),y_(2),z_(2)) . The projection of AB on the line with D.C's (l,m,n) is l(x_(2)-x_(1)) +m(y_(2)-y_(1))+n(z_(2)-z_(1)) Reason (R ) : The projection of the join of A (x_(1),y_(1),z_(1)), B(x_(2),y_(2),z_(2)) on yz plane is sqrt((y_(2)-y_(1))^(2)+(z_(2)-z_(1))^(2))