Vector addition is used to add two vector components. Let the vectors be **A** and **B** then C = A + B.
**A** vector can be specified either by its magnitude and direction or by its components. The vector is in ijk format. That means A = a1i+b1j+c1k and B = a2i+b2j+c2k . The co-efficient of i ,j and k are added separately to form the vector C = a3i+b3j+c3k. For each vector A there exists a negative vector. This vector has direction opposite to that of vector a but has the same magnitude; it is denoted by -A. This worksheet help you to understand how to perform vector addition.

**Vector properties:**

The vector addition obeys the following properties such as Commutative and Associative Law

Vector Commutative Law A + B = B + A

Vector Associative Law A + (B + A) = (A + B) + C

The formula for Vector Addition C = A + B

**Example problem:**

Calculate the vector addition whose inputs are

A = 1i+2j+3k

B = 4i+5j+6k

Then the resultant vector C = A + B

C = (1+4)i+(2+5)j+(3+6)k

= 5i+7j+9k

The resultant vector is **5i + 7j + 9k**

When you try such calculations on your own, this vector addition calculator can be used to verify the results of your calculations.

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