Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and the vector B= i-j+2k is d. 7x+3y-5z=0 O a. 7x-3y-5z=-14 O c. 7x+3y+5z= 14 O b. 7x-3y-5z-14=0 O

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: Find the vector equation of the line that goes through the point (10,15,9)(10,15,9) and is…

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Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Describe the graph of the equation: r = 4ri – 8j + (1 + 2t)k. [Choose the correct answer.]

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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: he vector component of A = 4 + 3ŷ + 62 along B=-2â+ 6ŷ + 42 is: O a. -1.21âx+1.82ây+-4.14âz O b.…

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Q: The position vector of a particle r(t) = ti + 7 In j+k. Find the acceleration 5 +t vector at t = 1 7…

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Q: Find two vectors v1 and v2 whose sum is , the rest is on the photo

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.