Solve Coplanar Vector Problem with a, b, and c Vectors | Find all Values of t

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In summary, a coplanar math problem is a mathematical question or exercise that can be represented on a two-dimensional plane without any elements intersecting or overlapping. This can be determined by visualizing the problem or using geometry principles. Coplanar problems can be found in various areas of mathematics and can be solved by identifying information, applying principles, and using logical reasoning. Studying coplanar problems can help develop important skills and serve as a foundation for more advanced mathematical concepts.
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the.flea
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Homework Statement


Find all values of t so that the three vectors a=(1,2,3) b=(4,5,6) and c=(7,8,t) are coplanar.

Homework Equations


(axb) [tex]\bullet[/tex] c=0

The Attempt at a Solution



(1, 2, 3) x (4, 5, 6)
(-3,6,-3)
(-3,6,-3)[tex]\bullet[/tex](7,8,t)
27=3t
t=9

it says find ALL values of t. i keep getting 9 through different combinations. is there only one value of t? thnks
 
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  • #2
Yes, there is only one value of t. If you'd gotten 27=0*t for your last equation then any t would work. But you didn't.
 

1. What is a coplanar math problem?

A coplanar math problem is a mathematical question or exercise that involves objects or points that lie on the same plane. In other words, all the elements in the problem can be represented on a two-dimensional surface without any of them intersecting or overlapping.

2. How do I know if a problem is coplanar?

A problem is coplanar if all of its points and objects can be drawn on the same plane without any of them intersecting or overlapping. This can be determined by visualizing the problem or by using geometry principles such as the Parallel Postulate.

3. What are some common examples of coplanar problems?

Coplanar problems can be found in various areas of mathematics, such as geometry, trigonometry, and vectors. Some common examples include finding the intersection point of two lines, determining the area of a triangle, and solving systems of linear equations.

4. How can I solve a coplanar math problem?

The approach to solving a coplanar math problem depends on the specific problem and the mathematical tools available. In general, it involves identifying and understanding the given information, applying relevant mathematical principles and equations, and using logical reasoning to arrive at a solution.

5. What are the benefits of studying coplanar problems?

Studying coplanar problems can help develop skills such as visualization, spatial reasoning, and critical thinking. It also provides a foundation for more complex mathematical concepts and applications, such as three-dimensional geometry and vector calculus.

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