a. Find a vector and unit vector perpendicular to each of the vector A + B and Ā – B. & B = 6k + i + 2j where A = ai + 4j + bk (Hint: a: 7th digit and b: 8th digit of your college ID) a = 5 b = 1

Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

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A: The solution is given as

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Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

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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: For what value of t, if any, is the vector (1, 4t) parallel to the vector (4, - 1) ? Not O A. 1 O B.…

A:

Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: For AABC, let b and c denote the vector AB and AC , respectively. The vector BH is orthogonal to AC.…

A: Orthonormal vectors are perpendicular to each other.

Q: IF A =2âx+4ây , B =-3âx+âz and C =2ây+3âz, the vector in the plane containing A and C and…

A: Given: Let us consider the given values as ,  A→,B→,C→A→=2a^x+4a^yB→=3a^x+a^zC→=2a^y+3a^z

Q: a. Find a vector and unit vector perpendicular to each of the vector à + B and à – Ē , where à = ai…

A: Given: Vectors are A→=ai+4j+bk and B→=6k+i+2j To find: A vector and unit vector perpendicular to…

Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost…

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A. B. 2 C. D.…

A: Given graphs  1) vector that maps  triangle ABC has vertices A(3,-1),B(7,-3),C(1,-6) to its image…

Q: a. Find a vector and unit vector perpendicular to each of the vector à + B and Ả – B , where A = ai…

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Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

A:

Q: Find a vector perpendicular to each of the given vector a = ßi +j+k ,b = 4i + aj – k. %3D |

A: Applying cross product we have

Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: Find the magnitude of the vector AB A=(2, 7) and B=(5, 9)

A:

Q: 3. Use the given rectangular prism to state a single vector that is equivalent to a) BC + GH A B D E…

A:

Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

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A:

Q: If a, b, and c are constant vectors, r is the position vector zi+ yj+ zk, and Eis given by the…

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Q: 1. Assume the lengths of the vectors 2a – b and å + 35 , assuming å = (2,1,3) and b = (-1,2,2) 2. If…

A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: If A is a conutant vector and R= 3xi+ 3yj+ 32K, then grad (3A -R) = ? %3D A O 3A ©9A 27 A

A: A is a constant vector  R=3xi+3yj+3zk 3AR=9Axi+9Ayj+9Azk To find grad(3AR) Let Φ=9Ax+9Ay+9Az gradΦ=i…

Q: For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 No t OB. Oct…

A: Using the condition of parallel vectors to find value of t.

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A: Vector cross product of given two vector  is orthogonal to two given vector

Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

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Q: Let b be a vector in Rm satisfying the following equation. 8 b -5 Then m = and b =

A:

Q: Find a vector and unit vector perpendicular to each of the vector à + B and Ả – , where à = ai + 4j…

A: Consider the given vectors A→  and  B→, A→=9i+4j+9kB→=i+2j+6k

Q: Given the points A(-6, 4) and B(-3, 5), express | the vector AB in terms of i and j.

A:

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

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Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: 16. Consider this regular octagon. If AB =ü and BC =v, express each vector in terms of u and v. B C…

A: 1)from the triangle law of addition  when two vectors are moving one by another then the third…

Q: in the same sets of axis express the following vectors a=i+j, b=-1+j, c=a+b, d=2a,and e=a-b

A: The vectors are:-

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A . 2 B. C. 2 A4…

A: Observe the given figure to identify the coordinates of both A, B, C and A', B', C'. x coordinate…

Q: Find a vector and unit vector perpendicular to each of the vector à + B and à – B , where à = ai +…

A: We have A→=ai+4j+bk  and B→=6k+i+2j Here a=0 and b=5 So, we have  A→=0i+4j+5k  and B→=i+2j+6k Now,…

Q: For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? OAt=- 16 OB. t =…

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

A:

Q: Given that P1 is the initial point and P2 is the terminal point of the vector, represent the vector…

A: Use vector concept

Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

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Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

A: Given that, u=a1i+b1jv=a2i+b2jw=a3i+b3j

Q: 6. Write the vector v in the form aî + bj , given its magnitude and direction. a. Il해 = 500, a =…

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Q: 2. a. Find a vector and unit vector perpendicular to each of the vector à + B and Å – B , where Å =…

A: Given vectors are A and B and C⇀ be tte perpendicular vector. A⇀=ai+4j+bk Apply given condition,…

Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.