Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 6t, y = −4+7t O(x, y) = (0, 6) + 1 ( − 4, 7) ai + bj = −4j + t (6i + 7j) O(x, y) = (6,7) + t(0, − 4) ai + bj = (6i + 7j) + (−4j) O(x, y) = (-4,0) + t (7,6) ai + bj = -4i +1 (7i+ 6j) O (x, y) = (0, 4)+1(6,7) ai + bj = 4j+t (6i + 7j) O(x, y) = (0, - 4) + t (6,7) ai + bj = -4j + t (6i + 7j)

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A:

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: Find parametric equations for the line through the point P(-3,4,-2) parallel to the vector 4i - 7j -…

A:

Q: Find the scalar equation of the line through (3,-2) and perpendicular to the line r = (4,-3) +…

A: