Use the following vectors: A = (3.0€ + 5.333ŷ + 2), B = (2.000 + 3.0ŷ + 102) В a. What is the dot product of vectors A and B? b. Based on this answer, are the vectors orthoganal? (type 'yes' or 'no')

Q: Scalar or dot product of vectors -7 i+ -7j+ -8 k and 9 i+ -3 j+ -2 k is: Answer:

A: Given vectors: Vector A= [ -7i + (-7j) + (-8k) ] = ( -7i - 7j - 8k ) Vector B = [ 9i + (-3j) + (-2k)…

Q: -2 -3 a -5-

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A car has mass 600 kg and velocity 100 m/s. Then what will be its momentum

A: Given: mass m = 600 kg. Velocity v = 100 ms To determine: Momentum P Formula used: P = mv Momentum…

Q: 10.3: There are two vectors A = 2i-3j+5k and B = −4i + B₂j+ 7k. Using the scalar product, find the…

A: Given Data :Two vector are given asA→= 2i^ -3j^+5k^B→= -4i^ +Byj^+7k^these two vector are…

Q: Calculate the dot product between the following vectors a) A=i-2j+5k and B=-3i+2j+2k b) A=-3i+j+2k…

A: (a) Let A and B denote the two vectors, and C denote the dot product of the two vectors. Therefore,…

Q: Calculate the dot product of vectors A and B:

A: Two vectors dot product are the product of magnitude of given vectors followed by cosine angle…

Q: (i) Find the displacement vector AB. (ii) Using dot product, find the angle that the displacement…

A: position vector ofA→=-6 x^+9 y^+6 z^B→=9 x^-7 y^+7 z^(i)AB→=B→-A→     =9 x^-7 y^+7 z^--6 x^+9 y^+6…

Q: Scalar or dot product of vectors 9i + 6j + - 4k and 1i + 3j + 0k?

A: Solution: given that A = 9i + 6j + - 4k  B = 1i + 3j + 0k to find the dot product

Q: Consider the vectors A = 6i + 3j and B = 3î - 6j.

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Q: What is the scalar product of 4i + 4j -2k and -3i -j + 2k, where I, j and k are the Cartesian unit…

A: Given  A  = 4i  + 4j - 2k  B = -3i -j + 2k  To find  Scalar product of these vectors

Q: 4. Show that a 5 =la+5| -|a-5|". HD

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Q: 3. Given the points M (0.1, -0.2, -0.1), N (-0.2, 0.1, 0.3), and P (0.4, 0, 0.1), find: a. the dot…

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Q: In this problem we are going to consider two different examples of the dot product between two…

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Q: Calculate the vector cross product a x b when a = 3i + j- 2k and b = 4i - j*

A: Given that:a→=3i^+j^-2k^b→=4i^-j^

Q: M = -3î + 6j – 5k and N = -21 + 3j + k The cross product of MxN equals Choose the best answer. A -9i…

A: Given: M→=-3i^+6j^-5k^N→=-2i^+3j^+k^

Q: Consider two vectors F = – 2i + 3j – k, and S = 4i – 3j + 2k. The dot product F.S =

A: Given that, F =  - 2i + 3j - k S = 4i - 3j + 2k The dot product of F·S is given by…

Q: CALCULATE THE SCALAR PRODUCT OF THE TWO VECTORS AND THE ANGLE BETWEEN THEM u=5i-2j;   v=-3i+2j

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Q: Problem 4: It should be obvious that the magnitude of a vector is independent of the choice of…

A: We will answer the question by first representing the given vectors in two coordinate systems. The…

Q: Consider the vectors shown above. What is the cross product ? -180 m2 k 144 m2 k 103 m2 -103 m2 k…

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Q: tors A and B are shown in the figure. gnitude of their dot product is C, and nitude of their cross…

A: Given that two vectors A and B and also given value of magnitude of cross product and dot product.…

Q: iven two vectors: M = -3i + 6j – 5k and N = -2i + 3j + k ne cross product of MxN equals hoose the…

A: Given A̅ = -3î + 6ĵ -5k̂  B̅ = -2î + 3ĵ +k̂

Q: If you had two vectors a = 2z(hat) and b = x(hat) + 2y(hat) + 3z(hat). What would the addition of…

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Q: In this problem we are going to consider two different examples of the dot product between two…

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Q: The magnitude of dot and cross product of two vectors 6/3 and respectively. Find the angle between…

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Q: Give a reason why the dot product of two vectors is know as the scalar product?

A: The dot product between two vectors is nothing but the component of one vector along the direction…

Q: Scalar or dot product of vectors 2 i+-6j+ -3 k and -2 i+-4j+-8 k is:

A: A→ = 2i^ - 6j^ - 3k^B→ = -2i^ - 4j^ - 8k^

Q: Using the definition of the scalar product, find the angles between (a) A = 3î – 2j and B = 4i – 4j,…

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Q: Problem 5: Two vectors in Cartesian coordinates have components A = (3, 1) and B = (2, y). a) If…

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Q: determine the dot product of the vector (A) = 6.0 (i) + 4.0 (j) - 2.0 (k) and the vector (B) = 5.0…

A: Given data:  Vector A = 6.0 (i) + 4.0 (j) - 2.0 (k) Vector B = 5.0 (i) - 6.0 (j) -3.0 (k) Required:…

Q: Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j…

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Q: There are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X […

A: Given: There are 6 vectors: a, b, c, d, e, f. ‘X’ represents cross-product while ’.‘ represents dot…

Q: Two vectors in Cartesian coordinates have components A=(2,3,2) and B=(4,-1,7). What is the dot…

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Q: 1- Find the dot product of the two vectors shown below. a - 3i + 4j, b - 5i- 2j (a) 4 (b) 6 O (c) 7…

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Q: Calculate the dot product:          A ∙ B,  given that vectors A = 3i + 6j a nd B = 4i – 4j

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Q: Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle…

A: Given data: Magnitude of vector A A = 9.0 Magnitude of vector B B = 3.0 Angle between vectors (θ) =…

Q: Part B Evaluate the dot product A B if A = 31 – 95 and B= 9i +9}. -

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Q: Using only the dot product, find the angle θ between the two vectors A = 2i + 6j and B = -3i + 2j

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Q: PartA Glven two vectors A-400+3.60 3 and B 5.80 i-2.00 nd the scalar product of the two vectors A…

A: Part AThe dot product is given by,

Q: Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot…

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Q: What is the dot product A•B if A = 2x - 3y and B = 15x + 10y?

A: