Question

Coplanarity of three vectors a, b, c is known as ……………
dependent
independent
linearly dependent
linearly independent

Answer 1

Answer on Question #56014 - Math - Linear Algebra

Coplanarity of three vectors $a, b, c$ is known as ...

- Dependent

- Independent

- linearly dependent

- linearly independent

Solution

Coplanarity of three vectors means that all three of them lie in the same plane. Only two vectors are needed to construct a basis in this plane (for example $a$ and $b$). It means that the third vector ($c$) can be expressed as a linear combination of other two, which means that they are linearly dependent.

Answer: linearly dependent.

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