In triangleABC, D is the mid point of th...

In `triangleABC`, D is the mid point of the side AB and E is centroid of `triangleCDA`. If `OE*CD=0`, where O is the circumcentre of `triangleABC`, using vectors prove that AB=AC.

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

In triangleABC, D is the mid point of the side AB and E is centroid of...
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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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Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
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Let vec A be a vector parallel to the line of intersection of plan...
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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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The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...
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