" 3."3a-4b+4c.2a+3b-8c,a-6b+c

Add: 3a - 4b + 4c, 2a + 3b - 8c, a - 6b + c

Find the sum of the following algebraic expressions : 3a - 4b + 5c , 2a + 3b - 6c , - 5a + 8b + 7c

If a,b and c are non-coplanar vectors, then prove that the four points 2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c are coplanar.

If a,b and c are non-coplanar vectors, then prove that the four points 2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c are coplanar.

Using properties of determinants, prove that: |{:(a, a +b, a+b+c),(2a, 3a + 2b, 4a + 3b + 2c),(3a, 6a+3b, 10a + 6b + 3c):}| = a^(3)

Subtract (2a - 3b + 4c) from the sum of (a + 3b - 4c), (4a - b +9c) and (-2b + 3c -a )