A plane intersects the a1, a2 and a3 axes at 0.2, 0.1, and -0.5. The reciprocal vector perpendicular to such plane is a. 5b1+10b2-2b3 b. 50b1+10b2-20b3 c. 50b1+100b2+20b3 d. 5b1-10b2-2b3 e. 50b1+100b2-20b3

Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

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Q: Find the specified vector or scalar. u = -5i - 2j, v = 9i + 7j; Find u - v. O -14i - 9j O 4i + 5j O…

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Q: The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors 7₁, 72 in…

A: We have to write each vector as a sum of scalar multiples of v1 and v2.

Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors ₁, ₂ in…

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Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: A rocket ship in space is not moving. The ship's crew performs a rocket burn which can be described…

A: The objective of the question is to understand the concept of vector addition and subtraction in the…

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

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Q: Are the vectors Choose DO-A- -5 5 2 and -10 linearly independent? 14 f they are linearly dependent,…

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Q: Find the triple scalar product (u xv). w of the given vectors. u= -5i - 3j+ 4k v=5i - 8j + 4k…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V₂ in…

A: The given points A,B,C,D generated by the vectors v1,v2∈ℝ2 are shown as follows: Parallelogram law…

Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

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Q: Determine a unit vector perpendicular to the plane containing the two vectors A = 4a +4a +5a X y…

A: The given plane contains the vectors: A⇀=-4ax+4ay+5azB⇀=-2ax+ay-2az Any vector perpenciular to the…

Q: Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R =…

A: The answer is given below:

Q: Points A, B, C and D have the position vectors 3i+j+2k, 2i-5j-4k, 2i+6j-5k and i+4j+8k respectively.…

A: Step:-1 A=3i+j+2kB=2i-5j-4kC=2i+6j-5kD=i+4j+8kn=-90i+19j-4k Part (a):- Note:- An equation of plane…

Q: Find a vector orthogonal to both v and W. v = 3i + 2j + k, w = -5i - 5j - k 3i - 2j - 5k -3i + 2j -…

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Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

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Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

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.