Multivariable Calculus : Vector Equations

Study concepts, example questions & explanations for Multivariable Calculus

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Example Questions

Example Question #1 : Vector Equations

Write down the equation of the line in vector form that passes through the points , and .

Possible Answers:

Correct answer:

Explanation:

Remember the general equation of a line in vector form:

, where  is the starting point, and  is the difference between the start and ending points.

Lets apply this to our problem.

Distribute the 

Now we simply do vector addition to get

Example Question #2 : Vector Equations

Write down the equation of the line in vector form that passes through the points , and .

Possible Answers:

Correct answer:

Explanation:

Remember the general equation of a line in vector form:

, where  is the starting point, and  is the difference between the start and ending points.

Lets apply this to our problem.

Distribute the 

Now we simply do vector addition to get

All Multivariable Calculus Resources

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