i. [i j k] = [j k i] = [k i j] = 1

Let, i, j, k be unit vectors in the direction of positive X -axis, Y -axis, Z -axis respectively.

Hence,

**Formulae :**

**a) Dot Products :**

**b) Cross Products :**

**c) Scalar Triple Product :**

From eq(1), eq(2) and eq(3),

[i j k] = [j k i] = [k i j] = 1

**Hence Proved.**

**Notes :**

1. A cyclic change of vectors in a scalar triple product does not change its value i.e.

2. Scalar triple product of unit vectors taken in a clockwise direction is 1, and that of unit vectors taken in anticlockwise direction is -1

Let, i, j, k be unit vectors in the direction of positive X -axis, Y -axis, Z -axis respectively.

Hence,

**Formulae :**

**a) Dot Products :**

**b) Cross Products :**

**c) Scalar Triple Product :**

Answer :

From eq(1), eq(2) and eq(3),

**Hence Proved.**

**Notes :**

1. A cyclic change of vectors in a scalar triple product does not change its value i.e.

2. Scalar triple product of unit vectors taken in a clockwise direction is 1, and that of unit vectors taken in anticlockwise direction is -1