Recent questions from topic vectors

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Let a = 2i + j - 2k and b = i + j. If c is a vector such that a.c = |c|, |c-a| = 2√2 and the angle between

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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a x (a x (a x b)) is equal to

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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If a, b, c be three non parallel unit vectors such that a x (b x c) = 1/2 b, then angle between a and b is

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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If a = 3i - j + k, b = i + 3j - k and c = - i + j + 3k then which of the following in true.

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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[a x b b x c c x a] =

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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i x (a x i) + j x (a x j) + k x (a x k) is equal to

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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The value of a x (b x c) + b x (c x a) + c x (a x b) is

asked Dec 10, 2022 in Vectors by LuciferKrish (51.1k points)

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Linear Algebra

asked Nov 28, 2022 in Calculus by Sekiba (15 points)

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(i) Find a normal vector to the plane 2x + 3y − 2z = 7.

asked Aug 14, 2022 in Vectors by tke2 (20 points)

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3. \( A B C D \) is a quadrilateral in which \( B C \) is parallel to \( A D \) and the ratio of the lengths \( B C: A D \) is 4: 7. Taking \( \overrightarrow{A B} \) and \( \overrightarrow{A D} \) as representatives of vectors \( \vec{v} \) and \( 7 \vec{u} \) respectively, find which vectors are represented by (i) \( \overrightarrow{B C} \) (ii) \( \overrightarrow{A C} \) (iii) \( \overrightarrow{B D} \) (iv) \( \overrightarrow{D C} \); (v) \( \overrightarrow{A E} \) where \( E \) is on \( B D \) such that \( B E=\frac{4}{11} B D \) in length; (vi) \( \overrightarrow{A F} \) where \( F \) is on \( A C \) such that \( A F=\frac{7}{11} A C \).

asked Aug 12, 2022 in Mathematics by piyush1723 (25 points)

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3. \( A B C D \) is a quadrilateral in which \( B C \) is parallel to \( A D \) and the ratio of the lengths \( B C: A D \) is 4: 7. Taking \( \overrightarrow{A B} \) and \( \overrightarrow{A D} \) as representatives of vectors \( \vec{v} \) and \( 7 \vec{u} \) respectively, find which vectors are represented by (i) \( \overrightarrow{B C} \) (ii) \( \overrightarrow{A C} \) (iii) \( \overrightarrow{B D} \) (iv) \( \overrightarrow{D C} \); (v) \( \overrightarrow{A E} \) where \( E \) is on \( B D \) such that \( B E=\frac{4}{11} B D \) in length; (vi) \( \overrightarrow{A F} \) where \( F \) is on \( A C \) such that \( A F=\frac{7}{11} A C \).

asked Aug 12, 2022 in Mathematics by piyush1723 (25 points)

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Does the phrase

asked Jul 17, 2022 in Physics and measurements by Gundeti Siddarth (25 points)

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4. A particle of mass \( m=5 kg \), initially at rest at \( x=0 \) and \( y=0 \) is acted upon by two forces \( \vec{F}_{1} \) and \( \vec{F}_{2} \). The force \( \vec{F}_{1} \) is shown in the diagram. Note that \( \sin \theta=4 / 5 \). The net acceleration of the particle is \( \vec{a}=12 \hat{i} m / s ^{2}, \vec{a} \) is shown in the diagram. (a) What is the force \( \overrightarrow{ F }_{2} \) ? Show graphically \( \overrightarrow{ F }_{2} \) on the diagram. (b) What is the position vector of the particle at \( t=10 s \) ? (c) What is the velocity of the particle at \( t=10 s \) ? (d) What additional force \( \overrightarrow{ F }_{3} \) would be required to make the acceleration \( \overrightarrow{ a }=0 \) ? Give the magnitude and the direction of \( \overrightarrow{ F }_{3} \) or exp

asked Jun 18, 2022 in Physics and measurements by hemant0407 (15 points)

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Assertion - Component of A along B is equal to component of B along A. Reason value of component is always less then the magnitude of vector .

asked Apr 20, 2022 in Physics by Sowaiba (74.9k points)

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A particle moves in the `xy` plane under the influence of a force such that its linear momentum is `vecP(t) = A [haticos(kt)-hatjsin(kt)]`, where `A`

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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`hata, hatb and hatc` are unit vectors. If the `hata +hatb = hatc`, them the magnitude of `hata -hatb` is :

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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A vector `vecA` is rotated through angle `theta` about its tail. Change of position vector of its tip of is:

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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(A) : A vectors will not change when the fram of reference in which it is existing is rotated . (R) : A scalar quantity may (or) may not be independen

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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Which of the following will not depend on orientation of frame of reference ?

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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Find the torque of a force `vecF= -3hati+hatj+5hatk ` acting at the point `vecr=7hati+3hatj+hatk`

asked Apr 17, 2022 in Physics by Somyakumari (121k points)

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