Eind the equations of the line that passes through point A(0, 1, 2) and is parallel to the vector 7 +27 -

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: To Find an equation of the plane that passes through the given point (1, 3, -7). First, convert the…

Q: 1. Find the vector equation of the line joining the points whose position vectors are -2ŷ+2 and – 2ŷ…

A: Note: " since you have posted multiple question. As per our guidelines we are supposed to solve only…

Q: (a) Find all the three forms of equations for the line that passes through the points A(3,-2,0) and…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A parallel, orthogonal, or neither? 3. Find the equation of the line through the point (0, 1, 4) and…

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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Q: nd an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given point P(2,6,-9) i.e. x1=2, y1=6 and z1=-9Given vector is n=j i.e. c=1We know that equation of…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or…

A: If the equation of line is r(t) =(x1i+y1j)+t(a1i+b1j) , then the direction ratios of line are…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 20 Jlgull Write the equation y = x - 3 as a vector equations. A r(t) (0,-3) +t(1,1) „B…

A: The correct option is  option, (A) r(t) = (0, -3) + t(1,1)  The detailed solution is as follows…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: We have to find the equation of plane.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the vectors T, N, and B at the given point. r(t) = re) - (2. 20,0). (1, - 3 -1) T = N = B =

A: Here we have to find,  Unit tangent vector T→(t)=? Unit normal vector N→(t)=? Unit Binormal vector…

Q: Which of the following equations correctly expresses the relation between vectors A, B, and C shown…

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Q: Find a and ß that solve the vector equation: -(1) - •(;) - ) 26 28

A: The given problem is to find the values of the unknown variables that can solve the given vector…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A line has y-intercept 11 and z-intercept -13. Find a vector equation of the line.

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the…

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Q: Q:2) Find a vector that is parallel to the line whose equation is 5x-4 4-2z = 3 - 6y = 7 5

A: The given problem is to find the vector that is parallel to given parametric line equation, we have…

Q: B) Determine if the two vectors are orthogonal or parallel or not? A- 6i + 6k and B-2i+2j+2k

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the equation of line passing through point P(1, –1, 2) , the direction of the line is parallel…

A: The line passes through the pointP→ = i-j+2kThe line parallel to the lineV→ = i-2i+kThe vector…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 13. Given the points A(3,5) and B( – 3, – 7), find a. the vector equation of the line.

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Explanation of the answer is as follows

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Given a the vector equation r(t)=(2+4t)i+(3−4t)j+(−4−1t)k, rewrite this in terms of the symmetric…

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Q: Find the equation of the perpendicular bisector of the line join- ing the points with position…

A: From the given information we can draw this figure

Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: According to Bartleby guidelines we can answer only one question at a time. To find vector equation…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: Find the component form of the resultant vector. 6) а-(-6, -12) g = (-11, -9) Find: -a + g a

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Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B.…

A: find the magnitude for finding the unit vector.

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.