-7 -3 Find out the area of the triangle whose two sides are given by the vectors: V1 and v2 = -5 8 1 Hint: Area = 2

Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

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Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: The angle between the pair of vectors v₁ = 0, v₂=a is 0 = 45°. What is the value of a ? 1-₁2-

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Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: 9. Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Formula: The unit vector in the same direction of a vector v→ is given by, v^=v→v Given: p, q, r To…

Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: Q3/B/ For what value of 2, the vectors 2i - j+ 2k and 3i + 22j are perpendicular?

A: We can use the concept of perpendicular vector their dot product is zero.

Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: Find the magnitude of the vector (-5, 12). Write your answer in simplified radical form. O/o (0,0)

A: We have to find magnitude

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

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Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: First we will find out the vectors from the graphs ,

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: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

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Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (b) а — b (c) a…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

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

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Q: b) How do you tell if two vectors are perpendicular?

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Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V=-((sqrt)2)/2 ,…

A: Refer to the question , we have to find the magnitude and direction (in degrees) of the…

Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=<9,4,-5> and B→=<3,-2,7>

Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: Which of the following vectors represents - 2u + v?

A: Given,

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: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

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Q: What is the dot product of two perpendicular vectors? [A] 1 [B] 0 [C] -1 [D] 1/2

A: If two vectors are perpendicular then their dot product is zero. That is dot product of two…

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

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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: 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: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: 2. The area of the triangle whose adjacent sides are the vectors u and v is a) Ju · v| c) |u x v|…

A: It is known that, the area of the triangle whose adjacent sides are the vectors A and B is 12A×B.

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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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: What is the component form of the vector that translates the top triangle to the bottom triangle? 4…

A: Top trinagle vertices is given by (-2,4), (-2,1), (2,1)

Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (c) 2а (е) 2а +…

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

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: 2. Square ABCD is drawn as showWn below with the diagonals intersecting at E. a. State four pairs of…

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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…

Q: Q.3 For what value of m, the vector 4i + 2j - 3k and mi - j+ 3 k have same magnitude?

A: The magnitude of a vector is the distance of the point whose coordinate is represented by the given…

Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.