The intersection of the two planes given by the vector equations -(1)-² r. = 2 0 and 2 ()- 0 r. is 2 = 1 a. a line passing through the point (1,1,1) O b. the empty set O c. a plane O d. a point O e. the line 3x=y-1 =z

Q: X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z…

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Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: X = Find the vector equation for the line of intersection of the planes x − 5y + 5z = −5 and x + 5z…

A: Given the equation of planes x-5y+5z=-5 and x+5z=1. To find the vector equation for the line of…

Q: Which of the follow is the direction vector of the line 7=(2, 1, 3) + t(-7, 1, 6) (7, 1, 6) O(-7, 1,…

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Q: Point P₁ lies on the line {₁:[4,4,-3]+t[2,1,−1],tER, and point P2 lies on the line…

A: Solution : Given that the lines l1 : 4,4,-3+t2,1,-1l2 : -2,-7,2+s3,2,-3

Q: 1 Determine a vector equation of the line passing through the points A(-2, 0, 0), and B(0, 1, –3). *…

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Q: Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or…

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Q: X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z…

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Q: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or…

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Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

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Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

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Q: Describe the graph of the equation. r = (6 – 21) i+ 10rj O It is a line in 2-space through the point…

A: Solution :-

Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

Q: Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and…

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Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: Give the vector equation of the line passing through P and Q. P= (3, 1), Q = (2, 0) X = + t

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