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Consider the three vectors p, q, r such ...

Consider the three vectors p, q, r such that `p=hat(i)+hat(j)+hat(k) and q=hat(i)-hat(j)+hat(k) , ptimesr=q+cp and p*r=2`
Q.The value of [p q r] is

A

are collinear

B

are coplanar

C

represent the coterminus edges of a tetrahedron whose volume is c cu. Units

D

represent the coterminus edges of a parallelopiped whose volume is c cu. Units

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Passage Based Questions)
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  8. Let P, Q are two points on the curve y = log(1/2) (x-0.5)+log2 sqrt(4x...

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  9. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  10. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  11. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  12. If a, b, c are three given non-coplanar vectors and any arbitratry vec...

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  13. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

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  14. Let g(x)=int0^x(3t^(2)+2t+9)dt and f(x) be a decreasing function fora...

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  15. Let x, y, z be the vector, such that |x|=|y|=|z|=sqrt(2) and x, y, z m...

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  16. Let x,y,z be the vector, such that |x|=|y|=|z| =sqrt(2) and x,y,z make...

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