Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k as a normal vector.

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: At an air show, a jet has a trajectory following the curve y = 3x². When the jet is at the point (5,…

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Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

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Q: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

Q: Find an equation of the plane through the point (-4, 5, 5) and perpendicular to the vector (2. 1,…

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Q: 5. Complete the table with the points of the image by applying the vector (-3, 5). Preimage A (-1,…

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Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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