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Recent questions tagged p62

Forces of magnitudes $3$ and $4$ units acting in the directions $\overrightarrow{6i}+ \overrightarrow{2j} +\overrightarrow{3k}$ and $\overrightarrow{3i}-\overrightarrow{2j}+\overrightarrow{6k}$ respectively act on a particle which is displaced from the point $(2,2,-1)$to$( 4,3,1)$. find the work done by the forces.

asked Apr 4, 2013 by poojasapani_1

1 answer

The constant forces $\overrightarrow{2i}-\overrightarrow{5j}+ \overrightarrow{6k}, -\overrightarrow{i}+\overrightarrow{2j}-\overrightarrow{k},$and $\overrightarrow{2i}+\overrightarrow{7j} $ act on a particle which is displaced from position $\overrightarrow{4i}-\overrightarrow{3j}-\overrightarrow{2k}$ to position $\overrightarrow{6i}+\overrightarrow{j}-\overrightarrow{3k}$. find the work done.

asked Apr 4, 2013 by poojasapani_1

1 answer

A force magnitude $5$ units acting parallel to $\overrightarrow{2i}-\overrightarrow{2j}+ \overrightarrow{k}$ displaces the point of application from $(1,2,3)$to $(5,3,7) $ find the work done.

asked Apr 4, 2013 by poojasapani_1

1 answer

Find the work done by the force $f=\overrightarrow{2i} + \overrightarrow{j}+\overrightarrow{k}$ acting on particle, if the particle is displaced from the point with position vector $\overrightarrow{2i}+ \overrightarrow{2j}+ \overrightarrow{2k}$ to the point with the position vector $\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{5k}$ .

asked Apr 4, 2013 by poojasapani_1

1 answer

Prove by the vector method , cos$(A+B)=$ cos$A$ cos$B$ - sin$A$ sin$B$

asked Apr 3, 2013 by poojasapani_1

1 answer

Prove by vector method , The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides.

asked Apr 3, 2013 by poojasapani_1

1 answer

Prove by vector method, The mid point of the hypotenuse of a right angled tringle is equidistant from its vertices.

asked Apr 3, 2013 by poojasapani_1

1 answer

Prove by the vector method If the diagonals of a parallelogram are equal than it is a rectangle.

asked Apr 3, 2013 by poojasapani_1

1 answer

If A is a skew symmetric matrix, then $A^2$ is a ____________ .

asked Dec 24, 2012 by sreemathi.v

1 answer

If A is a symmetric matrix, then $A^3$ is a _________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

Matrix multiplication is __________ over addition.

asked Dec 24, 2012 by sreemathi.v

1 answer

A matrix which is not a square matrix is called a __________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

The product of any matrix by the scalar ____________ is the null matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

The negative of a matrix is obtained by multiplying it by

asked Dec 24, 2012 by sreemathi.v

1 answer

Sum of two skew symmetric matrices is always ____________ matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

________________ matrix is both symmetric and skew symmetric matrix.

asked Dec 24, 2012 by sreemathi.v

1 answer

On using elementary row operations $R_2\times R_1-3R_2$ in the following matrix equation $\begin{bmatrix}4 & 2\\3 & 3\end{bmatrix}=\begin{bmatrix}1 & 2\\0 & 3\end{bmatrix}\begin{bmatrix}2 & 0\\1 & 1\end{bmatrix}$,we have:

asked Dec 24, 2012 by sreemathi.v

1 answer

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