Find the vector equation of line joining the points (1,0,1) and (2,0,2) and a second line joining the points (3,4,3) and (4,4,5). Find the shortest distance between these two lines.

Rajan’s company produces two products table and chair. The company earns Rs 1500 on each table and Rs500 on each chair. Making a table takes 12 hours of work while a chair takes only 6 hours of work. The company has to produce a minimum number of tables and chairs. Is this problem a linear programming problem(LPP)? If yes then solve it. If no then first convert it to a LPP with more information and then solve the resultant problem.

Show by using vectors that the two diagonals of a square are equal in dimension and perpendicular to each other.

Find if the points joining A(6,7,1), B(2,-3,1) and C(4,-5,0) are collinear.

Find the angle between the vectors a=2i+3j-4kand a=i-2j+3k

Find a unit vector perpendicular to both the vectors a=2i+3j-4kand a=i-2j+3k

Find if the points (0,2,1), (7,1,-2), (1,-2,2) and (2,0,8) are coplanar using vectors.

Find the vector and Cartesian equation of the line passing through the point (1, 0,5) and is perpendicular to the line x+2 = y-2 = z+3
3 4 5

Find the vector equation of line joining the points (1,0,1) and (2,0,2) and a second line joining the points (3,4,3) and (4,4,5). Find the shortest distance between these two lines.

g) Use mathematical induction to prove that:
1.
2 + 22 + 32 + ……+ n2 < ( n+1)3/3 ----this is one square ennane

2.
2 + 32 + ……+ n2 < ( n+1)3/3

If the sum of n terms of an Arithmetic Progression (A.P.) is define as 3n
2 + 4n. The mth term of the AP is 151, then what would be the value of m. Also find the first term of the AP and the difference between the two terms of this AP.

The sum of three numbers in Geometric Progression (GP) is 26 and the sum of squares of these numbers is 364. Find the three terms.

Find the sum of the n terms for the A.G.P. three + seven X+ eleven x square + FIFTEEEN X CUBE +.. X is not equal to 1

One of our site rules is that we do not do your homework for you, but will help you if you have made an effort to solve. I have merged your 13 math problems.

Actly ts an assignment for my aunt... she s doing b.sc maths... studying from home... t would b nic if u solve it for her... so that she can try out de answer for other problems which are in de same method... plz help her...

Quote:

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Originally Posted by sanchana

t would b nic if u solve it for her

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As I said, we do not do homework. Perhaps you can show her how to do this.

We also do not allow texting, so this thread is in danger of being removed, if you continue to text.