Show that the vectors vecaxx (bvecxxvecc...

Show that the vectors `vecaxx (bvecxxvecc),vecbxx(veccxxveca) and veccxx(vecaxxvecb)` are coplanar.

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If veca,vecb,vecc are any three vectors then prove that. vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=0

If veca,vecb,vecc are mutually perpendicular unit vectors and vecaxxvecb=vecc , show that vecb=veccxxveca and veca=vecbxxvecc .

Prove that for any two vectors veca and vecb,veca*(vecaxxvecb)=0 . Is vecb*(vecaxxvecb)=0 ?

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb) .

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxvecc=veca , prove that veca,vecb,vecc are mutually at right angles and |vecb|=1,|vecc|=|veca| .

It is given that : vecx=(vecbxxvecc)/([vecavecbvecc]),vecy=(veccxxveca)/([vecavecbvecc]) and vecz=(vecaxxvecb)/([vecavecbvecc]) , where veca,vecb,vecc are _____________ vectors.

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

Show that the vectors vecaxx (bvecxxvecc),vecbxx(veccxxveca) and veccx...
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Let O be the origin and let PQR be an arbitrary triangle. The point S ...
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Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...
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Let O be the origin, and O X , O Y , O Z be three unit vectors ...
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Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
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Let vec a , vec b and vec c be three non-zero vectors such that no ...
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If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...
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The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...
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Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...
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Two adjacent sides of a parallelogram A B C D are given by vec A B=...
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Let P,Q R and S be the points on the plane with position vectors -2hat...
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If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...
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If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
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The edges of a parallelopiped are of unit length and are parallel to ...
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Let two non-collinear unit vectors veca and vecb form an acute angle. ...
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Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...
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The number of distinct real values of lambda , for which the vectors...
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If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...
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Let A be vector parallel to line of intersection of planes P1 and P2. ...
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Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...
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Find the 7th term of GP if the first term is 7 and common ratio is 2.
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