Engr. Hazel Gazo wants to demonstrate the sides of the triangle in terms of vectors. Please refer to the given: Given: AB = 1(AXB dot C) I BC = | (BXC dot A) I AC = (A dot B) A = 2i+4j+4k m B = 2i+4j C = 13.12i+9.84j ft Determine: a.

Q: Find the angle, to the nearest degree, between the vectors U and V U=4i+5j, V=7i−4j

A: Consider the given vectors U=4i+5j , V=7i-4j First, find the dot product of vectors of U and  V…

Q: Given the vectors r,=3i-2j, r2=i+3j, r3=3i-2j, r4=-i+2j, Indicate if these vectors are parallel,…

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Q: Pls help ASAP

A: Given that î, ĵ and k̂ are unit vectors .

Q: The volume of the parallelepiped determined by the vectors à =,b = and c= is: (A) 12 (B) 6 (C) 24…

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Q: Find the value of a so that vectors U = ai + 3j and V = 9i + 9j are perpendicular. a =

A: Given: U=ai+3jV=9i+9jθ=90ο

Q: For any unit vectors v and w, find the dot products (actual numbers) of (a) v and -v (b) v + w and v…

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Q: Engr. Hazel Gazo wants to demonstrate the sides of the triangle in terms of vectors. Please refer to…

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Q: Given the cross product of 2 vectors u and v is, u × v = −3i + 2j – k, and their dot product is, u ·…

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Q: In triangle ABC a line is drawn from A to the midpoint of BC, labelled D. Prove that vectors…

A: The solution is given by using triangle law of vectors as follows

Q: Find the area of the parallelogram that has the vectors u and v as adjacent sides, where ||u|| = 2,…

A: The area of the parallelogram is ∥u∥×∥v∥×sinθ=2×12×sinπ3=24×32=123   Here θ= the angle between u and…

Q: In the adjoining figure ū and V are unit vectors. Evaluate the following and input your numerical…

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Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: see attachment

A: We are going to use fomrula&lt;a,b&gt;.&lt;c,d&gt;= ac+bd

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A: Given equilateral triangles congruents to triangle BSR  and OS = a          OT = b

Q: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b),…

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Q: Find the value of a so that vectors U = ai + 9j and V 3i + 12j are perpendicular. %D a =

A: Since, We know that Two Vectors are perpendicular to each other if and only if their dot product is…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

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Q: 3. Given the vectors v = i- 2j – 2k and w = 31 – 5j + 4k, find (a) the cosine of the angle between i…

A: The given vectors are, v→=i-2j-2kw→=3i-5j+4k The magnitudes of the vectors are as,…

Q: If U and W are unit vectors in R" and |U - 3W = v13, then the angle between U and W is: O a. 30° O…

A: Option C will be the right answer.

Q: In the diagram, ABC is an equilateral triangle, and D, E and F are the midpoints of its sides. As a…

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Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

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Q: Engr. Hazel Gazo wants to demonstrate the sides of the triangle in terms of vectors. Please refer to…

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Q: The inner(dot) product of two vectors and with lengths a and b. is given by a-b = abcos(y+2 T) ,…

A: The statement is true. The given statement is true because , Given a→.b→=abcosγ+2π But, cos…

Q: Given the vectors u = 2i+j and v = 4i-6j, find 4u and u-v. Write your answers in the form a i+bj. 4u…

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Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: Determine the angle between the two vectors: x = ai+bj+ck and y = di+ej+k where a = 2, b = 5, c = 1,…

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Q: A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors.…

A: We have to find out the diagonal

Q: Given the two vectors A = 3ix + 4iy and B = 7ix – 24 iy a. What is their dot product? b. What is…

A: Given : A=3ix+4iy, B=7ix-24iy.

Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

Q: Consider vectors A= -51 + 2j and B = 6î – 5j. Now answer the following questions %3D

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Q: In the rectangular prism shown below, OA=a, OC =b and oD =c. Express each of the following vectors…

A: We have to write following side of cube in vector form on the basis of given vector.

Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: If r is equal to 300 mm, Find: 1.) Rectangular form of r in ft 2.) Unit vector of r

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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: Given the vectors v = 2i+ 3j – k and w = 4i – 2j + 3k. Find the angle between v and w. %3D

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Q: Let A and B be nonzero vectors and let C = ||B||A+ ||A||B . Show that the measure of the angle…

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: Let the angle between two nonzero vectors u and V be 30°, the magnitude of the vectors be 3 and x…

A: Solution-

Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

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Q: ABC is a triangle. If D is the midpoint of AC, show that BA + BC = 2BD. Vectors

A: Consider the given information. Let's draw the triangle.

Q: For the pair of vectors U = -2i + 8j, V = 2i + 8j, findU + V, U - V, and 4U + 5V. U + V = ( |)i+(…

A: We use the following formula to find the u+v: (ai+bj)+(ci+dj)=(a+c)i+(b+d)j

Q: Given that the angle between the nonzero vectors đ = (u,,u2,u3), b = (u3.U2, -u,) is find the…

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Q: The triangle ΔABC is inscribed on a circle centered on the origin and of diameter ∥AB∥=6, as shown…

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Q: Find the value of a so that vectors U = ai + 12j and V = 31 + 9j are perpendicular. a =

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: Q:: Find the area of parallelogram whose sides are a = 2i – 4j + 5k and b = i – 2j – 3k. Also find…

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Q: Engr. Hazel Gazo wants to demonstrate the sides of the triangle in terms of vectors. Please refer to…

A: As per our guidelines we only solve 1st three parts and rest of the question will be reposted.