Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

Q: Find the dot product of a = and b = .

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Q: Let u = 4i - 9j, and v= - 4i +4j. Find v- u. v-u = (Type your answer in terms of i and j.)

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Q: à = (5, − 1) and 6 = (-2, –5). Represent a + b using the head to tail method. Use the Vector tool to…

A: The given vectors  and .To find the vector  and sketch the graph of the vector.

Q: a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool…

A: See the details solution in below

Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular)…

Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

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Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Let A = 2i + 3j and B = 4i − 4j. Show graphically, and find algebraically, the vectors −A, 3B, A −…

A: Given: A=2i+3jB=4i−4jFind:−A=?3B=?A−B=?B+2A=?12(A+B)=?

Q: Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

A: The given vectors are:                                            15i- 3j and -4i +bj;   Two vectors…