Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. P(1, - 1, - 2), Q(-2,0, - 1), R(0, - 2,1) The area of the triangle is (Type an exact answer, using radicals as needed.)

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 distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Find the component form of the vector.The unit vector that makes an angle u = -3pi/4 with the…

A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Find the distance of point A(23.2) from the line that passes through the origin and parallel to the…

A: given point A 23 ,2 and line passes through orgin and parallel to the vector v =<1,3>

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 angle 0 between the vectors a = (v3, –1) and b = (0, 13). Answer (in radians): 0 =

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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: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: Find the component form of vector u, given its magnitude and the angle the vector makes with the…

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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 area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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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: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

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

A: Given: (2,3,-6) Perpendicular to j vector

Q: of c. Calculate the angle made with the positive direction x-axis by the vector (a) v= 3₁ + 4j (b)…

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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 given vector. The unit vector in the direction of u =〈1, 0, 7〉

A: A unit vector gets its name from the fact that the magnitude of the unit vector is unity or 1. It is…

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 median AD of the triangle ABC where positive vectors of the vertices A, B and C are…

A: Vertices of the Triangle ABC given A=i+j,B=4i+6j,C=i-j; Hence, We can take these vectors as the…

Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

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

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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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: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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Q: Q3: A and B two vectors are perpendicular to the plane C: - A = 4i + 3j – k and B = 2i – 6j – 3k ,…

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Q: The vectors v = (3, 4) is projected onto the x-axis The length of the projection is %3D A/

A: We have to find

Q: (a) For the vectors d = (2, p, 8) and b = (q, 4, 12), determine values of p and q so that the…

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Q: Q3: Find the angle between two vectors in space A = 41 – 2J – k and B = 4T – 2J + 4k (5 marks)

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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 the exact area of the triangle with two sides given by the vectors u = i+j- 3k and v = 2i…

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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: 2. For the vectors (1, 1) and =(-1,1) Find the dot product u · v, and the angle 0 between the two…

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Q: Find the angle <ABC given the points A = (0,2,2) B=(-1,0,1) and C= (0,-1,2) Hint:- Find the…

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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 the three points X(6, 2, - 3), Y(- 2,3,0) and Z(- 4, 6, 5). Find the unit vector bisecting the…

A: Given position vectors: X6,2,-3; Y-2,3,0; Z-4,6,5To find: The unit vector bisecting angle YXZ.…

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

Q: Find the angle between the vectors U= and V=

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Q: Calculate the slope m of the following vectors and / or line segments in a plane (can be complex) a)…

A: Topic - slope of vector and line Note : As per bartleby guidelines,we are supposed to answer only…

Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Q: photo attached

A: The given vector is,