Let P be the plane in space that intersects the x-axis at 5, the y-axis at −5, and the z-axis at 4. Find a vector v¯ that is perpendicular to P. v¯ =

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1, and a z-intercept of 5.…

A: The x-intercept is 4. The y-intercept is -1. The z-intercept is 5.

Q: Find the vector p given the relationship between A and x.

A: Step1: Let's break down the problem step by step.Given Matrices: We are given two matrices: 𝐴 and…

Q: Find the point where the line through the origin and perpendicular to the 2x - y - z = 4 plane…

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Q: Find the equation of the plane that contains the point (4, – 1, 3) and is perpendicular to the…

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Q: Let L be the line y = 6 – 4x in R?. Find vectors a and b so that v = a+tb is a vector equation for…

A: Vector equation of line

Q: Let L be the line through the point Q = (- 6, - 9, - 10) and direction vector d = [- 1, - 2, - 2]^T.…

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Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

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Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

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Q: Q8. Find the equation of the plane passes through the point (1,2,3), parallel to the vector…

A: We have to find the equation of a plane passing through a given point and parallel to two vector.…

Q: Let the vectors x = (-0.3, –4.6, –3) and y = (4.1, –-2.2, r) Determine the value of r such that the…

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Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

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Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

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: 2. Let v be a vector parallel to a line that passing through the points P(1,0,-3) and Q(3,3,-3). a.…

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Q: Let b = 4i + 3j and c be two %3D vectors perpendicular to each other in the xy-plane. All vectors in…

A: Given: b→=4i+3j and c→ are two vectors perpendicular to each other in xy-plane.  To find: All the…

Q: Let b = 4i + 3j and c be two vectors perpendicular to each other in the xy-plane. All vectors in the…

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