Question

Which one of the following lines in ?3 does not go through both the points(1, 0, 4) and (3, 3, 3)? (x, y, z) = (3, 3, 3) + t(2, 3, 1) (x, y, z) = (1, 0, 4) + t(-4, -6, 2) (x, y, z) = (3, 3, 3) + t(2, 3, -1) (x, y, z) = (1, 0, 4) + t(2, 3, -1) Question 21 Consider the line in ?3that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t ? ?. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation 2x - 3y + 4z - 3 = 0? (59, 9, -7) (41, -11, -13) (41, 11, - 13) (-41, -11, 13)

          Which one of the following lines in ?3 does not go through both the points(1, 0, 4) and (3, 3, 3)?

(x, y, z) = (3, 3, 3) + t(2, 3, 1)
(x, y, z) = (1, 0, 4) + t(-4, -6, 2)
(x, y, z) = (3, 3, 3) + t(2, 3, -1)
(x, y, z) = (1, 0, 4) + t(2, 3, -1)

Question 21

Consider the line in ?3that has a vector equation as
(x, y, z) = (9, -1, 3) + t(-5, -1, 1), t ? ?. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation
2x - 3y + 4z - 3 = 0?

(59, 9, -7)
(41, -11, -13)
(41, 11, - 13)
(-41, -11, 13)

Show more…

Which one of the following lines in ?3 does not go through both the points(1, 0, 4) and (3, 3, 3)?

(x, y, z) = (3, 3, 3) + t(2, 3, 1)
(x, y, z) = (1, 0, 4) + t(-4, -6, 2)
(x, y, z) = (3, 3, 3) + t(2, 3, -1)
(x, y, z) = (1, 0, 4) + t(2, 3, -1)

Question 21

Consider the line in ?3that has a vector equation as
(x, y, z) = (9, -1, 3) + t(-5, -1, 1), t ? ?. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation
2x - 3y + 4z - 3 = 0?

(59, 9, -7)
(41, -11, -13)
(41, 11, - 13)
(-41, -11, 13)

Added by Vincent P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Parul N

02/20/2022

Step 1

We can substitute the coordinates of the points into each line equation and see which one does not satisfy both points. For the first line equation (c, y, 2) = (3, 3, 3) + t(2, 3, 1): When t = 0, we get (c, y, 2) = (3, 3, 3). When t = 1, we get (c, y, 2) = (5, Show more…

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Thanks for your feedback!

Which one of the following lines in ℘3 does not go through both the points (1, 0, 4) and (3, 3, 3)? (x, y, z) = (3, 3, 3) + t(2, 3, 1) (x, y, z) = (1, 0, 4) + t(-4, -6, 2) (x, y, z) = (3, 3, 3) + t(2, 3, -1) (x, y, z) = (1, 0, 4) + t(2, 3, -1) Question 21 Consider the line in ℘3 that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t ∈ ℝ. Which one of the following gives the coordinates for the point of intersection between this line and the plane with general equation 2x - 3y + 4z - 3 = 0? (59, 9, -7) (41, -11, -13) (41, 11, -13) (-41, -11, 13)

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