The Pythagorean Theorem, which relates to the relationship between the sides of a right triangle, is one of the most famous and widely-used mathematical formulas.

Read the problem carefully: Make sure to read the problem slowly and carefully, so that you fully understand what it is asking. Take the time to identify all of the information given in the problem.

Identify the problem type: Different math problems require different problem-solving strategies. Identify what type of problem you are dealing with - is it a geometry problem, an algebra problem, or a word problem?

Write down the given information: Write down all of the information given in the problem. This will help you to keep track of what you know and what you need to find out.

Determine what you need to solve for: Identify what the problem is asking you to find. This is often referred to as the "unknown" or the "variable."

Choose a problem-solving strategy: Based on the problem type, choose a problem-solving strategy that will help you to solve for the unknown. For example, if it is an algebra problem, you may need to use equations to solve for the unknown.

Set up equations or formulas: Use the information you have to set up equations or formulas that will help you to solve for the unknown. This may involve using algebraic equations, geometric formulas, or other mathematical tools.

Solve the equations: Once you have set up the equations or formulas, solve them using the appropriate techniques. This may involve factoring, simplifying, or applying the appropriate formulas.

Check your work: After you have solved the equations, double-check your work to make sure that you have not made any mistakes. Check to see if your answer makes sense and is consistent with the given information.

Write your answer clearly: Write down your final answer clearly, making sure to include the appropriate units (if necessary) and rounding to the appropriate number of decimal places.

\f\f\fQuestion 9: For given vectors, 5 = 2'13\" 2k and b = 4 +jk , find the unit vector in the direction of the vector E \"J \f\fQuestion 13: Find the direction cosines of the vector joining the points A (1, 2, 3) and B (1, 2, 1) directed from A to B. Question 19: If 5 and are two collinear vectors, then which of the following are incorrect: A. 5:35, for some scalar A B. (i = if; C. the respective components of '5 and 5 are proportional D. both the vectors '5 and b have same direction, but different magnitudes \f5f 5' ~ 2&7 Find a vector in the direction of vector which has magnitude 8 units. \f