Find the dot product and cross product of the given 2 vectors. Sketch the 2 vectors in x, y, z coordinate. Also, find the magnitude of the 2 given vectors. A = 3î + 2j – k B = -3î + 4j – 2k %3D

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: Find the dot product of the following vectors →uu→ and →vv→.. Refer to image below →uu→ ⋅⋅…

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Q: The area of the parallelogram formed by the vectors p = (a, 1, –1), and q= (1,1, 2) is v35 sq units.…

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Q: b a

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Q: Find the cross product x . Is the resulting vector perpendicular to the given vectors? O ; yes O ;…

A: Vectors < -1, -3, -8 > and < 7, 4, -5> . To find cross product.

Q: 2. Add the vectors by rearranging them and then sketching the resultant. u W a. Add the vectors by…

A: To add the vectors  we should sketch the x-y plane .

Q: . Compute the dot product of the given vectors and find the angle between them: a) u = (3,7,-2) and…

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Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: Given the vectors below, find the dot product. u = [-1,3, 2, 0] v = [-6, –4, –2, 7] u·v = Ex: 5

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Q: Find the magnitude of x- and y- components of the given vectors. Sketch the vectors.   A= 29.8 m,…

A: The solution of above question is written below.

Q: Find the cross products uxv and vxu for the the vectors u= 2i-j- 2k and v =i+ 2j - 3k. uxv = Di+…

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Q: 8. If you know that the vectors a = 4i-j + 2k and b =4i-2j-5k, then the lengthvector %3D a - 2b = A.…

A: To find: The length of the vector a→-2b→. Given: The vectors are a→=4i-j+2k and b→=4i-2j-5k. Concept…

Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k +…

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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: K118 lb 21° 125 et 9) R = = 38° 58 130 ll I|||

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Q: For the given vectors a and b, find the cross product a x b. (2, 0, -3), b = (2, 1, 0) a x b = %3D

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Q: Determine the magnitude of the resultant of the given vectors. Then give the direction of the…

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Q: 3. Given the following vectors, find their sum, difference, dot produet and cross product. A- 2£ +…

A: All parts of Question 3 is solved.

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Determine the dot products of the following pairs of vectors. (a) (2, 4), (3, -4) (b) (3, –2, 5),…

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Q: Find the components and length of the following vectors:(a) i − 3j

A: The given vector is i-3jwe have to find component and length of the vector

Q: Consider the vectors A =4ax+2kaytaz and B = ax+4ay-32az what value of k the two vectors A and B will…

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Q: B) Determine if the two vectors are orthogonal or parallel or not? A- 6i + 6k and B-2i+2j+2k

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Q: Find the x and y components of the following vectors: show complete solution 10 J , 45 east of…

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Q: Add the given vectors by components. A= 366, 0, - 232.3° B%3D226,0,3D296.6

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Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

Q: Find the length of the vectors (a) –2 i + 2j – 4 k: length = (b) 0.47 – 0.4 + 1.6 k: length =

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Q: Find the length of the vectors (a) i +3j+ k: length = (b) i — 2.6 j + 2.6 k. length = -

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

A: We need to evaluate the following cross product -2k×5j

Q: (c)Find the length and the direction of the following vectors v-9i-2j+6k

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Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du

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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 a set of vectors {u, v} in R¹ that spans the solution set of the equations 3z Sw-x-y 3w + 2xy…

A: Spanning set

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

A: Solution

Q: Find the dot product of the two vectors v= w= and the angle between the vectors.

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Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

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Q: Use the vectors u = i + 6j and v = -3i - 5j. Find 5v + 2u.

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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 (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

Q: Find the dot product of the vectors v = 5i - 3j and w = 2i - j.

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Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du ;

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Q: The DOT PRODUCT of the two vectors is 1111 N. The magnitude of vector J is 100 N. Find the magnitude…

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Q: 6. Find the dot product of the vectors and the cosine of the angle between them. (a) u=i+2j, v = 6i…

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Q: ) Find the cross product of the given vectors e = (6,-2,3) and f= (2,5,-1).

A: Given that  e= (6,-2,3) and f= (2,5,-1). We find vector cross product of this given vector.…

Q: Determine a unit vector perpendicular to the plane of à = 2î – 6j – 3k and B = 4î + 3j – k| (b) Find…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) part Consider the given vectors 9i   ,   5i+4j Suppose the given vectors be  u→  and  v→ such…