Equations of Lines For problems 3 & 4 give the vector and parametric form of the...
(1 point) Give a vector parametric equation for the line that passes through the point (1, -5, -1), parallel to the line parametrized by (-3 – t, 1+ 4t, 4+t): L(t) =
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...
(1 point) Give a vector parametric equation for the line through the point (0, -3, -3) that is parallel to the line (4 + 4t, -4 – t, t – 3): L(t) =
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
Writing equations of lines parallel and perpendicular to a given... Consider the line y=-6x+5. Find the equation of the line that is parallel to this line and passes through the point (8, -4). Find the equation of the line that is perpendicular to this line and passes through the point (8, -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: e X Equation of perpendicular line: 1 ? Explanation Check 20:20...
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...
need help Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...
1:34 Find the parametric equations of the line in Rthat passes through the points (2,4, 1) and (-3, -2,-4). (A) x 25t y 6 6 (B) x 2-5t y 4 6t (C) x -3-5t y 4 6t (D) х--2-t y 6-6t y 6-6t (G) x 2 -5t y 4 6 Problem 45
In problems 1 - 4, write the equation in the slope-intercept form using the given information. 1. Write the equation in the slope-intercept form that passes through the given point and has the indicated slope m. (3,-4) and m=- 2. Write the equation in the slope-intercept form that passes through the given points: (-1,-2) and (3,-4) 3. Write the equation in the slope-intercept form of the line that passes through the point (-1, 3) and is parallel to the line...