Let vecu and vecv be unit vectors. If ve...

Let vecu and vecv` be unit vectors. If `vecw` is a vector such that `vecw+vecwxxvecu=vecv`, then prove that `|(vecuxxvecv).vecw|le1/2` and that the equality holds if and only if `vecu` is perpendicular to `vecv`.

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

Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...
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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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