# Adding Vectors

Given the vectors:

**P**= 2

**i**+ 3

**j**-

**k**

**Q**= 4

**i**- 3

**j**+ 7

**k**

Calculate

**R**which is defined by:

**R**=

**P**+

**Q**

Show Solution

Find:

Given the vectors:

Calculate

Show Solution

Our Solution for R is:

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Vector Dot Product

Dot product of two three dimensional vectors which are written in terms of their x, y and z components.

Vector Dot Product

Dot product of two three dimensional vectors which are written in terms of their x, y and z components.

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Reaction forces on a simply supported beam

Given the free body diagram of this simply supported beam, find the reaction forces at each of the supports. (worked solution)

Reaction forces on a simply supported beam

Given the free body diagram of this simply supported beam, find the reaction forces at each of the supports. (worked solution)