If bara,barb,barc are non-coplanar vecto...

If `bara,barb,barc` are non-coplanar vectors, prove that points with position vectors `2bara+3barb-barc,bara-2barb+3barc,3bara+4barb-2barc` and `bara - 6barb + 6barc` are coplanar.

Topper's Solved these Questions

MULTIPLE PRODUCT OF VECTORS
AAKASH SERIES|Exercise EXERCISE - 4.1 (LONG ANSWER QUESTIONS)|14 Videos
MULTIPLE PRODUCT OF VECTORS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos
MULTIPLE PRODUCT OF VECTORS
AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos
MULTIPLE & SUBMULTIPLE ANGLES
AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

bara,barb,barc are non co planar vectors, then prove that four points 6bara+2barb-barc,2bara-barb+3barc,-bara+2barb-4barc, -12bara-barb-3barc , are coplanar.

bara,barb,barc are non coplanar vectors. Prove that the four points -bara+4barb-3barc , 3bara+2barb-5barc , -3bara+8barb-5barc , -3bara+2barb+barc are co-planar.

Show that [2bara +barb +barc bara +2barb +barc bara +barb +2barc] = 4[bara barb barc]

[bara barb barc]+[bara barc barb] =

bara , barb, barc are coplanar vectors . Prove that of the following four points are coplanar. 6bara + 2barb - barc , 2bara - barb +3barc , - bara + 2barb - 4barc , - 12bara - barb - 3barc .

(bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=

barc.(barb+barc)xx(bara+barb+barc)=

If bara,barb,barc are non-coplaner, then show that the vectors bara -bar b , barb + barc ,bar c + bara are coplanar

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)

Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...
Text Solution
|
For non - coplanar vectors bara,barb and barc determine p for which th...
Text Solution
|
If bara,barb,barc are non-coplanar vectors, prove that points with pos...
Text Solution
|
Show that the four points -bara+ 4barb - 3barc, 3bara +2barb-5barc,-3b...
Text Solution
|
Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...
Text Solution
|
Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...
Text Solution
|
If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...
Text Solution
|
Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...
Text Solution
|
Let bara=bari-bark, barb=xbari + barj+(1-x)bark and c-ybari+xbarj+(1+x...
Text Solution
|
If bara=(1,-1,-6),barb=(1,-3,4) and barc(-2,-5,3) then compute baraxx(...
Text Solution
|
i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark...
Text Solution
|
Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (...
Text Solution
|
If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/...
Text Solution
|
If bara,barb and barc are non zero non-collinear vectors and theta(ne0...
Text Solution
|
Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...
Text Solution
|
If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =
Text Solution
|
Prove that [barbxxbarc barcxxbara baraxxbarb]=[bara barb barc]^(2...
Text Solution
|
If (barbxxbarc)xx(barcxxbara)=3barc, then find [barbxxbarc barcxxbar...
Text Solution
|
If bara=2bari+barj-bark,barb=-bari+2barj-4bark,barc=bari+barj+bark the...
Text Solution
|
If bara,barb,barc,bard are four vectors, then show that (baraxxbarb).(...
Text Solution
|