Find the maximum value of

If a is a square matrix such that A^{2} = I, then find the simplified value of

Matrix is given to be symmetric, find values of a and b.

Find the position vector of a point which divides the join of points with position vectors and externally in the ratio 2:1.

The two vectors and represent the two sides AB and AC, respectively of a Find the length of the median through A.

Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is

Prove that :

OR

Solve for x:

The monthly incomes of Aryan and Babban are in the ratio 3:4 and their monthly expenditures are in the ratio 5:7. If each saves Rs. 15,000 per month, find their monthly incomes using the matrix method. This problem reflects which value?

If and find the values of at and

If prove that

Find the values of p and q, for which

is continuous at