Worksheet for Vector Addition

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.

Similar Worksheets  Math Worksheet to calculate Polynomial Addition
 Worksheet for Complex Number Addition & Subtraction
 Worksheet for Vector Magnitude
 Worksheet for Vector Cross product Calculation
 Worksheet for Vector Dot / Scalar product Calculation
 Worksheet for Vector Subtraction
 Matrix Addition Worksheet
 Worksheet for how to Calculate Antilog
 Worksheet for Binary to Decimal, Hexa and Octal number conversion
 Worksheet for how to Calculate Permutations nPr and Combination nCr

  Algebra   Vector algebra  
Math Worksheets