Home
Class 12
MATHS
If A,B,C are three non-collinear points ...

If A,B,C are three non-collinear points with position vectors `veca, vecb, vecc` respectively then show that the lengths of the perpendicular from C on AB is : `(|.(veca xx vecb)+(vecb xx vecc)+(vecb xx veca)|)/(|vecb-veca|)`

Text Solution

Verified by Experts

The correct Answer is:
`(|veca xx vecb +vecb xx vecc +vecc xx veca|)/(|vecb-veca|)`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER-2018

    ICSE|Exercise Section -C|8 Videos

  • QUESTION PAPER-2018

    ICSE|Exercise Section -C|8 Videos

  • QUESTION PAPER 2022 TERM 1

    ICSE|Exercise SECTION C|8 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Competency based questions)|20 Videos

Similar Questions

Explore conceptually related problems

Show that: (veca+vecb).{(vecb+vecc)xx(vecc+veca)|=2{veca.(vecbxxvecc)}

if veca + vecb + vecc=0 , then show that veca xx vecb = vecb xx vecc = vecc xx veca .

If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca=

If vecb and vecc are unit vectors, then for any arbitary vector veca, (((veca xx vecb) + (veca xx vecc))xx (vecb xx vecc)) .(vecb -vecc) is always equal to

If veca, vecb, vecc be three units vectors perpendicular to each other, then |(2veca+3vecb+4vecc).(veca xx vecb+5vecbxxvecc+6vecc xx veca)| is equal to

Let veca,vecb,vecc be three non coplanar and vecd be a vector which is perpendicular to veca + vecb + vecc . If vecd = xvecb xx vecc + yvecc xx veca + zveca xx vecb the-

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) =

The value of veca.(vecb+vecc)xx(veca+vecb+vecc) , is

Solve the vector equation vecr xx vecb = veca xx vecb, vecr.vecc = 0 provided that vecc is not perpendicular to vecb

For any four vectors veca, vecb, vecc, vecd the expressions (vecb xx vecc).(veca xx vecd) +(vecc xx veca).(vecb xx vecd)+(veca xx vecb).(vecc xx vecd) is always equal to: