Find the area of the parallelogram determined by the given vectors. 3 u = 2i – j+ 3k, v = ÷i + 2j – %3D 4 14 2| Need Help? Watch It Read It

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

A: Magnitude of the resultant of the given vectors can be determined using parallelogram law of vector…

Q: What should the value of y be for the given vectors å = 3î + 2ĵ + 2k , b = î - ĵ +k and ĉ = 2î + 2yj…

A: Given that three vectors are in the same plane or we can say the vectors are coplanar. If three…

Q: What is the angle between the two given vectors?   A=4i + 12 j + 6k   B=24i -8j +6k

A: Given,            The two vectors are A→=4i+12j+6k and B→=24i-8j+6kWe know that,            The…

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: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: b a

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Q: Find the value of a so that vectors U = ai + 6j and V = 3i+ 15j are perpendicular. a = -90 X Need…

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Q: #1. The area of the parallelogram spanned by the vectors v = (A) – 22 (B) 22 (C) 23 (D) 8 (E) 2 (5,…

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Q: A) Knowing that A" = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the %3D value of m then…

A: w​e know that, for perpendicular vectors, cross product is zero. because A.B = ABcos(theta) so from…

Q: Q.3 Find the cosine of the angle between the vectors: a = 2i-8j + 3k b= 4j+ 3k b= -j-2k b= 2i + 4j-k…

A: The given question is related to vectors. The solution is explained below.

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

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Q: be a = 7+2 - 3R and B = 27 + 7- 2K determine the unit vectors parallel to the vectors a)d + B1

A: A parallel vector to the vector a+b is obtained by dividing the vector a+b by lenth of a+b.

Q: Q8. Find å – b, given that d = 4i – 3j + 2k, b = 2i – 4k %3D Find the angle between the two vectors.

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Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: Q.3 Find the cosine of the angle between the vectors: (i) a 2i-8j+3k b= 4j + 3k

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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: a b c d e Which of the following vector is perpendicular to the given 2 vectors? nd -L1,-3>…

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

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point in the same direction -24,-27

Q: Q2/ A) Knowing that A = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

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Q: Which one of the following vectors is perpendicular to the line L: 2x +3y- 6= 0 O 2i- 3j O 21 3j

A: concept:  a line ax+by=c has perpendicular vector <a,b>

Q: A) Knowing that A¨ = 2i+mj+k & B¯ =5i + j+4k value of m then find A x B are perpendicular vectors.…

A: Given that:     A=2i+mj+kB=5i+j+4k

Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

A: To find: The angle between the given vectors. Given information: Concept used:

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

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Q: A) Knowing that A¨ = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

A: (A) Two vectors A→ and B→ are perpendicular if and only if A→.B→ = 0 Here A→ = 2i+mj+kB→ = 5i+j+4k…

Q: Q.3 Find the cosine of the angle between the vectors: a = 2i-8j + 3k a =i+2j-k a = 4i + 2j-k b= 4j +…

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Q: nd the values of a for which vectors A and B are perpendicular where A = 2i+j+ ak and B = 2i+aj+k.

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Q2) Find the area of parallelogram and the unit vector perpendicular of: A = 2i + j – 2k B = i + 3j…

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Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: B) If u 5i-j+k, v -5j - 5k , w -i-3j+ 2k. Which vectors are perpendicular? Give reasons for your…

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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: (a) For the vectors d = (2, p, 8) and b = (q, 4, 12), determine values of p and q so that the…

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

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Q: Q.3 Find the cosine of the angle between the vectors: a = 2i -8j + 3k a =i+ 2j-k a = 4i + 2j-k b =…

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Q: Q/ B/ If vector A = 3i – 2j + 7k and B = -i+j- 3k , find the area of triangular between vector A and…

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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: V(PQ),V (PR), and V(PS) are 1. Find the volume of the parallelepiped PQRS if the vectors…

A: Solution of 1st question.

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

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Q: 40. Consider the vectors Vị, V2, V3, and b in R², shown in the figure. Does the equation x¡Vj +x2V2…

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Q: Find the angle between vectorsu3(1,0,0) and v=(1,0,1)? a. T/3 b. л/6 с. л/2 d. /4 Jump to...

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Q: The area of the parallelogram with vectors R(1,2,-1), P2(4,2,-3), P3(6,-5,2).P4(9,-5,0) is a) 998 b)…

A: Consider the given vectors P11,2,-1,P24,2,-3,P36,-5,2, and P49,-5,0. Use the given vectors and draw…

Q: 8. ABCDEF is a regular hexagon with AB, representing the vector m and AF, the vector n. Find the…

A: Given that: AB→ is representing the vector m and AF→ is representing vector n.

Q: Determine the equilibrant of the given vectors by (a) parallelogram method and (b) triangle method.…

A: Image is attached with detailed solution.

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: Let u = 5i - j + k, v = j - 5k, w =-15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

A: To determine the vector which are,Part (a) ParallelPart (b) Perpendicular

Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.