Solve the vector equation vecr xx vecb =...

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

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Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be three given vectors. If vecr is a vector such that vecr xx vecb = vecc xx vecd and vecr.veca =0 then find the value of vecr .vecb .

If vecA + vecB +vecC = 0 , then vecA xx vecB is

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

Let veca=hati+2hatj-hatk, vecb=hati-hatj and vecc=hati-hatj-hatk be three given vectors. If vecr is a vector such that vecr xx veca=vecc xx veca and vecr*vecb=0 , then vecr*veca is equal to _______.

If three vectors vecA, vecB and vecC satisfy the relation vecA.vecB = 0 & vecA.vecC = 0 then the vector vecA is parallel to vecB xx vecC . Statement-2 : vecA _|_vecB and vecA_|_vecC hence A is perpendicular to plane formed by vecB and vecC .

let veca, vecb and vecc be three unit vectors such that veca xx (vecb xx vecc) =sqrt(3)/2 (vecb + vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is:

Let veca, vecb, vecc be three vectors such that [(veca, vecb, vecc)]=2 . If vecr=l(vecbxxvecc)+m(veccxxveca)+n(vecaxxvecb) be perpendicular to veca+vecb+vecc , then the value of l+m+n is

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

Solve the vector equation vecr xx vecb = veca xx vecb, vecr.vecc = 0 ...
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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 OX, OY, OZ be three unit vectors in the direct...
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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 a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...
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The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...
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Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...
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Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...
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Let P, Q, R and S be the points on the plane with position vectors -2h...
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If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...
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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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Lelt two non collinear unit vectors hata and hatb form and acute angle...
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Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...
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The number of distinct real values of lambda, for which the vectors -l...
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Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
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Let A be vector parallel to line of intersection of planes P1 and P2. ...
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Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...
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If vec a , vec b and vec c are three non-zero, non coplanar vecto...
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