v.(OF = (vo) - F+o(V .F (V) F+

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: According to the formal definition of the term "parallel," two vectors are said to be parallel to…

A: According to the formal definition of the term "parallel," two vectors are said to be parallel to…

Q: Find the scalar and vector projections of b onto a. a = 3i- j + 4k, b =j + (1/2)k compab = projab =…

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Q: Let ^= [1] -6 Find a unit vector x whose first component is positive at which Ax has maximum length.…

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Q: Express the vector below in Cartesian coordinate: B = 2r sin cosc a₁ + r cose cose aer sind a ax=…

A: Given: The vector, B=2rsinθcosφar+rcosθcosφaθ-rsinφaφ   To express: The given vector in cartesian…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Orthogonal component of AP →=AP⇀sinθ we know AB⇀×AP⇀= AB⇀AP⇀sinθ

Q: If vector A = [4/1] and vector B = [-3/2] find A-B

A: Here two vectors A and B are given we have to find A-B.

Q: For a given non-zero vector v in R3 there is a unique unit vector parallel to it. True or false.…

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Q: What is the unit vector oppositely directed to 4?−5?−5??

A: Topic:-  vector algebra

Q: ||ī|| = Find the length of the vector = 2 -2 Enter `sqrt(a)' for √Va

A: In this question we will find the Length of the vector.

Q: Let m (1, 2, 3) and n (5, 3,-2). Find the vector projection of m onto n, that is, find proj- m. You…

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Q: 3- The scalar component of the vector F in the direction of K is (K.F А- .K, В- K C-

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Q: If ū = 2î – î and w = î + 2ĵ, find the compo- nent form of V = ũ + w and sketch the specified vector…

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Q: onsider the vectors A and B presented below. ind: TA = TB = +BT = BT = A = 26 2 -10 = (345) the…

A: Given A = 26-10  ,  B = 345

Q: 3. Let 7 be a non-zero column vector in R" and 7 be a non-zero column vector in R". What is…

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Q: Given ri = 3i - ej +In2 k, r2 = 5i + 7 e'j - 4 k and r3= 7i-7j+ k. Find the unit vector of (a)…

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Q: But for any vector A and scalar V, the identity or V VA = A.VV + V(V-A) (VA) V = VVA - A VV

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Q: What conditions on a column vector u will make ulu zero? T

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Q: Let a be the vector of length 114 that when drawn in standard position makes a 165° angle with the…

A: Given:- Length of the vector, v= 114, angle is 1650Vector in component form:-(a1, a2)a1=v cos θa2=v…

Q: 2.30 Let r denote a position vector r = x= xê, (r² vector. Use index notation to show that: (a) ²…

A:

Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: Write a in the form of a = a¡T + a„N at t = 0 without finding T and N for r(t) = (2 + t)i+ (t +…

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Q: Please solve this vector calculus practice problem showing all the steps. Thanks!

A: Solution is done.Explanation:Approach to solving the question: Detailed explanation: Examples: Key…

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: Find the orthogonal projection of the vector 123 onto the image of 321 3 2 -2 -2

A: