**Question 1.**

**Question 2.****Solution:**

= 3(8 + 3) – 0(16 + 9) + 5(4 – 6)

= 33 – 0 – 10 = 23

= 23 cubic units.

**Question 3.Solution:**

∴ -3(0 + 2p) – 4(0 – 2) – 2(-p – 0) = 0

∴ -6p + 8 + 2p = 0

∴ -4p = -8

P = 2.

**Question 4.Prove that :(i) [latex]\bar{a} \bar{b}+\bar{c} \bar{a}+\bar{b}+\bar{c}[/latex] = 0Solution:**

**Solution:**

**Question 5.**

**Question 6.**

**Solution:**

= 1(6 – 18) + 1 (-6 + 6) + 0

= -12 + 0 + 0 = -12.

**Question 7.Find the volume of a tetrahedron whose vertices are A( -1, 2, 3) B(3, -2, 1), C (2, 1, 3) and D(-1, -2, 4).Solution:**

**Question 8.Solution:**

**Solution:**

a¯ × (b¯ × c¯) ≠ (a¯ × b¯) × c¯

**Question 10.Solution:**