Given: 1. v = 2i – 4j + v5 k, u = -2i + 4j – V5 k 2. v =i+k, u = 5i + 12j | 3 4 Find: a. u· v, |v|, Ju| b. the cosine of the angle between u and v. the scalar component of u in the direction of v. d. the vector proj„u С.

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: Find the specified vector or scalar. u = -5i - 2j, v = 9i + 7j; Find u - v. O -14i - 9j O 4i + 5j O…

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: Simplify the expression by using a double-angle formula. cos 30 – sin 30

A: Here we have to use the double angle formula to solve the given problem. cos(2θ) = cos2(θ)  - sin2…

Q: a. v'u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u in the…

A: We have to solve given problem:

Q: Find the angle (in radians) between the vectors u and v below. u= 0 1 N N V= IE Give exact…

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Q: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

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Q: Find the vector that makes equal acute angles with the positive coordinate axes and has length 2. O…

A: An acute angle is an angle that measure is less than a right angle (90 degrees). The magnitude of a…

Q: a. u• v, |v|, [u| b. the cosine of the angle between u and v. the scalar component of u in the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the vectors u = 6i and v=7j. Sketch the vectors, find the angle between the vectors, and…

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Q: Given vectors u = <-3, -7> and v = <-1, 5>, find the resultant vector  u + v.

A: The objective of this question is to find the resultant vector when two given vectors are added…

Q: Given the vectors v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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Q: Find a unit vector n with the same direction as the vector v = 3i + 6j − 2k. Explain please.…

A: The answer provided below has been developed in a clear step by step manner.

Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: The vector from the origin to point A is given as 4x-4y, and the unit vector directed fron the…

A: Please post the second question separately.