Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8)

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Determine the volume of the box whose sides are the vectors (1, -2, 1), (2, 3, -2), (-1, 3, -2)

A: use determinant method to findout the volume.

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

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Q: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: Find area of triangle whose vectors Р (3,3, 1), Р2-1,0,2), Р3(2,3,3)

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Q: Find the volume of the parallelepiped determined by the vectors å = (3, 4, – 1), 6 = (0, 2, 1), c =…

A: The volume of the parallelepiped  determined by the vectors a, b and c is given by a·b×c or…

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 4, – 1), b = (0, 4, 2), с 3…

A: Given the vectors, a→=3,4,-1b→=0,4,2c→=2,5,1

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0)

A: The given vectors are The unit vectors can be obtained by the formula Now, find the cross product…

Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: What is the terminal point of the vector a = (2, 2) based at P = (2,4)?

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Q: Find the volume of the parallelepiped determined by the vectors a č = (2, 4, 1). (3, 5, – 1), 6 =…

A: The volume, V , of a parallelepiped is calculated using the scalar triple product, V=c·(a×b) . Use…

Q: Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the…

A: Let us consider an incomplete regular polygon of n sides and the same polygon after rotation. We…

Q: A triangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle,…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Find the solution below

Q: Find the area of the triangle with vertices (3, 7, 1), (4, 2, 1), and (3, 1, –6). Then find both…

A: Vertices of a triangle A(3, 7, 1), B(4, 2, 1), C(3, 1, -6) AB→=(4, 2, 1)-(3, 7, 1)      =1, -5, 0…

Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: Find two unit vectors orthogonal to both (1,-1,1) and (1,0,3)

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Q: The cross product of vectors a = (-1, 4, 6) and b = (3, 0, -2) is %3D

A: The cross product of vectors is given below

Q: Find two unit vectors orthogonal to both (3,2,1) and (–1,1,0).

A: The vectors 3,2,1 and -1,1,0

Q: The vectors [1, 0, 1], [1, 1, 1] and [1, 0, -1] are coplanar. True False

A: Using coplanarity conditions we have

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Find two unit vectors orthogonal to a=⟨1,−1,−2⟩a=⟨1,−1,−2⟩ and b=⟨2,0,−2⟩b=⟨2,0,−2⟩.

A: Given vectors are

Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and =…

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Q: 3. Prove by using vectors that the points P(-2,1,6), Q(2,4, 5), and R(-1,–2,1) are the vertices of a…

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Q: Find the volume of the parallelepiped determined by the vectors a= (3, 2, - 1), b = (0, 4, 3), č =…

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Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0).

A: Unit Vectors orthogonal to vectors  <2,3,1> and <-1,1,0>…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

Q: Find the magnitude of the projection of (- 1, 2) onto the vector (3, 5)

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Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

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Q: Find the area of the parallelogram defined by the vectors ä= (2, -2,0) and 6= (0,1,2)

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Q: Find the area of a parallelogram with two sides identified by vectors from the origin to the points…

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Q: Find the vector in R' from point A = (-2, –3, 8) to B = (9, –4,–3). AB = help (vectors)

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Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

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Q: Find a vector which is orthogonal to the vectors ū = (2, –2, 1) and ū = (4, 3, – 1).

A: Explanation of the answer is as follows

Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)

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Q: Find the angle between the vectors [ -1, 1, 2] and [2,1,-1].

A: Consider the vector: v = −1,1,2w =…

Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

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Q: )Find the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

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Q: Find the magnitude of the projection of (- 5, 6) onto the vector (– 1, 0)

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