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How do you find the parametric equations of a line? - Answers
To find the parametric equations of a line, you need a point on the line and a direction vector. If you have a point ( P(x_0, y_0, z_0) ) and a direction vector ( \mathbf{d} = \langle a, b, c \rangle ), the parametric equations can be expressed as: ( x = x_0 + at ), ( y = y_0 + bt ), and ( z = z_0 + ct ), where ( t ) is a parameter. This representation allows you to express every point on the line as ( t ) varies.
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How do you find the parametric equations of a line? - Answers
To find the parametric equations of a line, you need a point on the line and a direction vector. If you have a point ( P(x_0, y_0, z_0) ) and a direction vector ( \mathbf{d} = \langle a, b, c \rangle ), the parametric equations can be expressed as: ( x = x_0 + at ), ( y = y_0 + bt ), and ( z = z_0 + ct ), where ( t ) is a parameter. This representation allows you to express every point on the line as ( t ) varies.
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How do you find the parametric equations of a line? - Answers
To find the parametric equations of a line, you need a point on the line and a direction vector. If you have a point ( P(x_0, y_0, z_0) ) and a direction vector ( \mathbf{d} = \langle a, b, c \rangle ), the parametric equations can be expressed as: ( x = x_0 + at ), ( y = y_0 + bt ), and ( z = z_0 + ct ), where ( t ) is a parameter. This representation allows you to express every point on the line as ( t ) varies.
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