Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector < 9, 6, 2 >.O a. 8x + 8y + 2z = 124o b. 9x + 6y + 2z = 124O c. r(t) = < 8, 8, 2 > + t < 9, 6, 2 >o d. r(t) = < 9, 6, 2 > + t< 8, 8, 2 >

The vector equation of the line which is passing through the point (h, k, l) and parallel to the…

Answered: Find the equation of the line that…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the vector equation for the line of 5x + 3y - 2z = −1 and 5x + 5z = -4 intersection of the planes r = = 0,0) + t(15,00)
Please solve (b)
Write the vector equation of the line through (9,-1) and perpendicular to (x,y) = (1,-2) + t(6,-7)
3. What is the component and projection of the vector A x B into the vector N = 0.87 + 0.6k , if the vector Å = (10, 16, 3) and B = (5,-2, 2).
4x бу Find dA, where R is the parallelogram enclosed by the lines 6x + 2y 0, 4x R 4х — бу - 6y = 4, 6x + 2y = 1, 6x + 2y = 7. Round your answer to 4 decimal places.
4(2). Please show your calculations & explain steps by steps. Determines the vector equation: A) from the line in R2 that goes through the points (3, -6) and (0, -1). B) of the plan in R3 that contains the points (-6, 1, 0), (4, -3, 5) ret (-7, -2, -4).
Which equations below represent the line in R³ that passes through the point (-3,5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t): +t OF(t) = + t Ox=3+3t; y = 5 + 4t; z = = 5 + 6t - OF(t): = -3, 5, -5> +t OF(t) = +t 1 - x=3+ 6t; y = 5 + 8t; z = 5+ 6t OF(t)= +t OF(t)= + t -
Determine the vector equation for the line that is parallel to 7 = [1,5,-7]+t[2,-1,5] with the same x-intercept as [x, y, z]=[-1,8,6]+t[-2,4,3]. 3.
A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation of this line is →x=−−→OP+t−−→PQx→=OP→+tPQ→, where OO is the origin.If t=2t=2, what point does this give us from the equation?

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Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector < 9, 6, 2 >. O a. 8x + 8y + 2z = 124 O b. 9x + 6y + 2z = 124 o c. r(t) = < 8, 8, 2 > +t< 9, 6, 2 > o d. r(t) = < 9, 6, 2 > + t < 8, 8, 2 >