(c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

Q: Consider the following. u = (5,7), v = (6, 2) (a) Find the projection of u onto v. 33 11 5' 5 (b)…

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Q: Specify the unit vectors a = 2i + 3j-k and b = 3i + 4j.

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Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: Given two straight lines r: { 2x-Sy-7 12z-3y=5 s: (x-y-z=1 2x - 4y +z = S a lines intersect at one…

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Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: Find the unit vector of A=3ax+2ay-3az

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Q: How can we find the cartesian equation from a vector equation?

A: Equation of line in vector form is:r→=a→+λb→Where,a→=x1i→+y1j→+z1k→ b→=b1i→+b2j→+b3k→

Q: Consider three vectors A 6) (a) Find A (B+C). Fnl A C) Find A (8C) i Find Bx(A-C)

A: Here we have  A=4i+6j-2kB=2i+7j-kC=0i+3j+5k i) find A·(B+C) ii) find A·(B×C) iii) find A×(B+C)

Q: You are given the following three vectors a = (9 -3 -1) T b = (2 0 2) T c = (-4 0 8) T Find the…

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Q: a. A: = a: b: -1 1 1 0 A A This is the result of the inverses of the matrices: 3/2- -1/4 -3/2 5/4 0…

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Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each…

A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

Q: 6 Describe two vectors a and b such that (a) a + 6 = and a+b= c; (b) ở + B = - B; (c) à + B = and…

A: Topic - vectors

Q: (4) You are doing some calculations about a solar panel on the roof of a house as shown in the image…

A: Given: Let the given vectors are a→=-10, 0, 6=-10i^ + 0j^ +6k^b→=0, 4, 0=0i^ + 4j^ + 0k^s→=13, 23,…

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: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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Q: 2 N 3 y

A: Given :P→=xi+yj+zkP→=2i+3j+zk