Subtract 3a−2b+4c from the sum of −2a+b−5c and 3a−2b+c

Subtract 3a+4b-2c from 3c+6a-2b.

Subtract 7a+3b-3c " from " 4c+6a - b

Subtract 5a+3b-2c " from "6c+5a-3b

If a=3,b =4,c= 5 ,then sin 2B is

A : The centroid of the triangle formed by the points 2a + 3b, 5a + 4b, 2a - b is 3a + 2b. R : The centroid of the triangle formed by the points a, b, c is (a + b + c)/(3)

Find the value of a, b, c and d from the equation: [(a-b,2a+c),(2a-b,3c+d)]=[(-1,5),(0,13)]

If a +b +c=6 , then the value of (2-a) ^3+(2-b) ^3+(2-c) ^3- 3(2-a) (2-b) (2-c) is

If A={1, 2, 3, 4, 5}, B={a, b, c, d} then the number of onto functions that can be defined from A to B is

a,b,c are three vectors such that |a|=1,|b|=2,|c |=3 and b.c =0 if the projection of b along a is equal to projecton of c along a then |2a+3b-3c|=