Find the dot product 9) v = 12i + 9j, w = -10i – 8j

Q: Find mZH in rhombus GHIJ. 2x 3x+25° J %3D Submit

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: Find the (a) dot product A B and cross product B x -A if A = 12 in directed at 33' and B = 16 in,…

A: Here we use the dot and cross products formula in terms of length and angel.

Q: The angle between u = 3i -j-k and v = -7i – 2j + 4k is

A: u=3i-j-k and v=-7i-2j+4k The formula for angle formed between two angle is, cosθ=a·ba·b

Q: Find the angle of intersection α of two cardioids r1=1+cosθ and r2=1−cosθ.

A: Consider the Figure:

Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

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Q: Find the diagonal of the rectangular solid. 3 ft. A ft., 5 ft.

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Q: You are designing a box to ship a package to your sister that has two congruent pentagons on each…

A: It has two pentagonal ends and 5 rectangular sides in cylinder shape.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: Find the area of the parallelogram that has two adjacent sides u = 5i + 4k and v i+2j + 2k

A: Area of parallelogram is obtained by the magnitude of cross product vectors of two adjacent sides.

Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

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Q: is the unit cube having one corner at the origin and the coordinate planes for three of its adjacent…

A: Given cube of unit length the co-ordinates of points are.A→→(0,0,1)B→→(1,0,0)C→→(1,1,0)D→→(0,1,0)

Q: Find the dot product v. 0. v = 7i+ 9j, O -54 O 138 O 84 No new data

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Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

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Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

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Q: Find the value of x and y in the rhombus. yo 3x° 2x° y = IL ||

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Q: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

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Q: Express the result in trigonometry and rectangular form 1 43. (1 + V3i)6

A: D-Moivre's theorem: If z=reiθ, then it is a complex number. Then, zn=rn(cosnθ+isinnθ) where n is…

Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

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Q: Find the dot product of u and v. u=4i-3j v=i-j

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Q: (2, 3.5)

A: Here, the given function is,

Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

A: HINT:  To calculate the angle we need the following thing: cos(α) = A.BAB We need to calculate AB…

Q: Find the value of z in rectangular form if i'(-4+5i) (2-i)(1+2i) (i) 1-2i (ii) 2z - 3z -2+2i (iii)…

A: The rectangular form of a complex number is z=x+iy, where x is the real part and y is the imaginary…

Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact…

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Q: Find the imaginary part of the z where z is the result of dividing the number z1 =2.3 - i 17.1 by…

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Q: Determine the dot product, cross product, and angle between P = 2ax - 6ay + 5az               and…

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Q: In the diagram below, parallelogram ABC has diagonals AC and BD that intersect at point E.

A: Given ABCD is a parallelogram. E is the point of intersection of diagonals.

Q: Find the dot product v • w. v= i+ 3j, w= 7i -j

A: Given,           v=i+3j , w=7i-j

Q: Solve the triangle ABC given that: ZA = 45°, ZB 105°, and c = 2 a. %3D

A: Given that in a triangle ABC ∠A=45∘∠B=105∘c=2

Q: Q) write down the application of cross dot scaler triple and vector triple product ?

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Q: The.vectors (2i - 3 j) , (3i – j) and (2k - i) are Parallel to each other Perpendicular to each…

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: Please answer the question in the attached image about 3D trigonometry

A: G is on the YZ plane Coordinate of G is (0,5,6)

Q: Use the dot product to determine whether v= i + 3j, and w= -3i - j are orthogonal.

A: We have to determine whether the given vectors are orthogonal using dot product method where vectors…

Q: Find the area of the parallelogram that has u = i – 2j + 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: Find the dot product v • w. v = i+ 4j, w= 7i -j O A. 11 В. О С. 3 O D. -3

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Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: Show steps clearly.

A: To find the dot product of the given vectors.

Q: Use the dot product to determine whether v = 2i + 8j and w = 4i - j are orthogonal.

A: Given: v=2i+8jw=4i-j

Q: ind the cross product a × b. a = i + 5j - 3k, b = -i + 4k

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Q: Find the area of the parallelogram with adjacent sides u = -7i + 7j + 7k and v = 9i – 6j + 8kļ. Area…

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Q: What solid is formed when a right triangle is rotated around a line containing one of its legs? cone…

A: Shape problem....

Q: Q9) The scalar product with angle 180° would produce

A: The scalar product of two vectors A→ and B→ is given byA→·B→=AB cosθWhere,A is magnitude of A→B is…

Q: Find the area of the parallelogram that has two adjacent sides u=-3i+2k and v=i+j+2k

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Q: Change from rectangular to spherical cooordinates (√3, 1, 2√3)

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Q: Find the value of z in rectangular form if i' (-4+5i) z = (2-i)(1+2i) (i) (ii) 1- 2i 2z – 3z =-…

A: Rectangular form of a complex number is. z= x+iy   Or , z=a+ib I have calculate all the given…

Q: Find the dot product of u and v.   u= 2i-4j and v = -i+4j

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Q: Use the dot product to determine whether v = 3i and w = -4j are orthogonal.

A: To check: whether the two vectors  v=3i and w=-4j are orthogonal or not. Concept used: The two…