a. Find a vector and unit vector perpendicular to each of the vector A + B and A – B & B = 6k + i + 2j where A = ai + 4j + bk (Hint: a: 7th digit and b : 8th digit of your college ID) b = 7 a = 9

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Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: Use the accompanying figure to write each vector listed in Exer- cises 7 and 8 as a linear…

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Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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

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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: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

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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,

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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: Is it true that if vectors a-b and a+b are orthogonal, then la|=|b|.

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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)

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A: First change direction of vector then find magnitude and write unit vector

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Q: If a = i+ 2j + k and b = i+ 5j +k, find a unit vector with positive first coordinate orthogonal to…

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A: Given: u=i+j ,v=i-j

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Q: 2. Given the two vector combinations a + 4b = 4i + 4j + 6k, a - 2b = i+7j +3k, find a and b.

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Q: 2. Given the two vector combinations a+ 4b = 4i + 4j + 6k, a- 2b =i+7j + 3k, find a and b.

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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…

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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

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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…

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A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

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,…

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A: Solve the following

Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Q1) Sketch the vectors in a,b,c, and d using the provided figures A) a. u + v b. u + v + w C. u - v…

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Q: b Write the vector b in terms of the other vectors. C.

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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 =…

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

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Q: Resolve the vector a = -i+ 4j+9k into orthogonal vectors, one of which is parallel to b =i- 3j – k.

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A: Given : a=i+4j+k and b=i+8j+k.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.