Vectorrrrr

14 Answers

1
Thedarkknight ·

c?

11
Mani Pal Singh ·

yup
provide the solution

1
Thedarkknight ·

Taking cross product,
we get i(ab-c2))-j(ab-c2)+k(ab-c2)
As they lie on same plane,cross product is zero
hence ab=c2

1
sriraghav ·

take cross product of two vectos...it will be perpendicular to the plane in whih it lies... then dot product of one of the vector with the perpendicular vector will be 0.... then u can get the required condition(i donno d soln..but this is the method)

11
Anirudh Narayanan ·

hey, batman....i have a doubt

how did u get the cross product as
(ab-c2)i-(ab-c2)j+(ab-c2)k??

(ai+aj+ck) x (ci+cj+bk) = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ a & a & c\\ c & c & b \end{vmatrix}

= (ab-c2)i - (ab-c2)j

ALSO, CROSS PRODUCT OF TWO VECTORS ON THE SAME PLANE NEED NOT BE EQUAL TO 0...........

IF WE GO BY SRIRAGHAV'S METHOD, WE'LL GET

[(ab-c2)i - (ab-c2)j].(ai+aj+ck) = a(ab-c2)-a(ab-c2)

WHICH IS 0 FOR ALL VALUES OF c.........PLS CLARIFY

11
Anirudh Narayanan ·

arey, someone explain this..........

11
Anirudh Narayanan ·

someone pls clarify

11
Anirudh Narayanan ·

MANI!!!!!!!

QUESTION IS TOOO VAGUE ....

ANY TWO VECTORS WILL ALWAYS BE COPLANAR!!!

11
Subash ·

hmm I think question should have been two vectors are in a line

Then everything would be correct

1
Pavithra Ramamoorthy ·

@subash.. even then would the vector product be zero??

11
Subash ·

yes as it is zero for collinear vectors

11
Anirudh Narayanan ·

machan, if the vectors are on the same line, then the angle between them is 0....so sin0 = 0 ..... so cross product is 0 da

1
Pavithra Ramamoorthy ·

srry.. small confusion suddenly...
;-(((

1
°ღ•๓яυΠ·

yeah dear thats d fact wich we use to find coplanarity

n two vectors r always in d same plane no mattr wat

d question arise wen we hav 3 vectors :P

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