Consider a slanted plane that intersects the entire x-axis and also contains the point P ( 1 , 2 , 4 ). a. Draw this plane, then find and label the coordinates of two other points in the plane. b. Draw two non-parallel vectors that lie in this plane, and find their components. c. Find a vector that is orthogonal to your two vectors. This is called a normal vector for the plane because it is orthogonal to every vector in the plane.

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: Three points A, B,C in R are given: A = (1,2, 3). B = (2,2, -1). C= (3,1,0). Find the coordinates of…

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Q: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

Q: Let P and Q be the points in R3 with position vectors p = (4, -6, 1) and q = (1, -3, -5),…

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Q: Find a unit vector v orthogonal to the plane that connects the points P = (4, 5, 2), Q = (8, 9, 6)…

A: Given that the plane that connects the points P = (4, 5, 2), Q = (8, 9, 6) and R = (8, 9, 9)

Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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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 equation of the plane containing the point ( – 5, – 10, 9) and the two vectors and -

A: Given that , Plane containing the point -5,-10,9 So , a→=-5 i^-10 j^+9 k^ And vectors are ,…

Q: 1. Find the equation of the plane. the points. Don't use three (1,2,1), (2,6,3), (0, 1,-1) which…

A: 1:  2: Note: We have taken d as common and taken  it to the other side of the equation.

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: The vector equation of the plane containing the point (lo, Jo, normal vector is given by is the…

A: The plane containing the point (x0,y0,z0) and with normal vector  <a, b, c>  Let (x,y,z) be…

Q: 4. If the position vectors of the three points A, B and C are (2, 4, -1), (1, 2, -3) and (3, 1, 2)…

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Q: Find an equation of the plane through the point (29,-37,46) and with normal vector 14i+19j–17k.

A: we have to find an equation of the plane passing through the point (29,-37,46) and with normal…

Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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Q: dy y X, dx

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