Find u + v, u – v, and 2u – 3v. Then sketch each resultant vector. u = (-4, 1), v = (3, -5) (a) u + v u + v =(-1, – 4) y y 5 5 u + v X -5 5 u + v -5 V y y 5 5 X X u + v-5 u + v-5- (b) u - v v- (-7,6) u - v = y y u – v u – v X -5 5 y y u- v u – v X -5 - 5 5 -5 -5 (c) 2u - 3v (-17, 17) 2u - 3v = y y 20 20 2u – 3v 2u – 3v -3v -3v 10 10 2u' 2u - 20 10 10 20 - 20 - 10 10 20 - 10 - 10 - 20 - 20 y y 20 20 2u – 3v 2u – 3v -3v -3v 10 10 2u 2u - 20 - 10 10 20 - 20 - 10 10 20 - 10 - 10 - 20f - 20

Q: Find the vector z, given that u = (3, -2, 5), v = (0, 2, 1), and w = Z= z = −u + 4v + 1 _W 2 (-6,…

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Q: Find the component form of the vector v, (a) write the vector using standard unit vector notation,…

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. -2u

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Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

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Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: Write the vector u=<2,-3,1> in the form v+w, where v is a vector parallel to the vector…

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Q: Express the vector in the form (V= a i+ b j+ c k) *, if A (1,0,3) and B is (-1,1,1) OV=-2 i+j-2 k O…

A: Express the vector in form (V= ai+bj+ck) If A(1,0,3) and B(-1,1,1)

Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Find u + v, u - v, and 2u – 3v. Then sketch each resultant vector. u = (-3, 1), v = (2, -5) (a) u +…

A: Given;  u = <-3,1> and v = <2,-5>

Q: Find the vectors u + v, u-v, and 5u | u = i + j, v = -j – 2k %3D u + v = u - v = 5u

A: The given vectors are

Q: Let u = PQ and v = PR. P = (-2, –1), Q = (5, –1), R = (4, 3) (a) Write u and v in component form.…

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

Q: Let v= (-6 , 2 ) and a= (1 , 1 ) . Find the vector component w=projav of v along a - За W = OA. - 2a…

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Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: Find the component form of the vector v and (b) sketch the vector with its initial point at the…

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Q: The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O…

A: We a given a vector u=(2,3) We are asked to find out unit vector in direction of  vector u=(2,3)

Q: Find u + v, u- v, and 3u – 4v. Then sketch each resultant vector u = 3i, v = j (a) u + v

A: the given vectors are: we have to find: a) u+v b) u-v c) 3u-4v. then we have to sketch each…

Q: Find u + v, u − v, and 2u − 3v. Then sketch the resultant vector. u = 4,3    , v = -3, 0

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Q: Let v be the vector from initial point P1 = (-7, -4) to terminal point P2 = (0, -2). Write v in…

A: To write the vector v in terms of i and j.

Q: Find u + v, u - v, and 3u - 5v. Then sketch each resultant vector. u = (4, 6), v = (7, 0) (a) u+v u…

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Q: Find u + v, u - v, and 3u - 4v. Then sketch each resultant vector. u = (0, -7), v = (1, -2) (a) u +…

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Q: Find u + v, u – v, and 3u – 4v. Then sketch each resultant vector. (0, -6), v = (1, –2) u = (a) u +…

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Q: The vector v has initial position P and terminal pet P (2, 5); Q=D (-5,-1) v 7i+ 6j Ov- 6i+ 7j…

A: Let's Solve, Answer: Option D

Q: Find the component form and the magnitude of the vector v. ||v|| %3D y 9. (2, 4) V 2 -2 (-1, -1) -2…

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Q: Let u = (2, – 4) and v =(-4,2). Find the component form and magnitude (length) of the vector 2u -…

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Q: For each pair of vectors Calculate proju and the vector component of u orthogonal to V. a7…

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Q: express each vector in the form v = y1i + y2j + y3k. 5u - v if u = <1, 1, -1>and v = <2, 0,…

A: Given vectors

Q: Find u + v, u - v, and 3u - 5v. Then sketch each resultant vector. u = (4, 5), v = (6, o)

A: The given vectors are u=4,5 and v=6,0.

Q: Find u + v, u – v, and 4u - 5v. Then sketch each resultant vector. u = 5i, v = j (a) u + v u + v = y…

A: the given vectors are: u=5i v=j we have to find: a) u+v b) u-v c) 4u-5v then we have to sketch the…

Q: Find a vector w perpendicular to both vectors u=2i-j+2k and v=3j-4k w=i+2j-3k w=-2i+8j+6k…

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 3u…

A: u=-3, 4 & v=2, -5 a). 3u-4v=3-3, 4-42, -5=-9, 12-8, -20=-9-8, 12--20=-17, 32

Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: The vector v, where |v|= 28, is in the direction of the vector 2i + 3j – 6k. v = 25. A 14i + 21j –…

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Q: Let P(4, - 3) and Q(- 1,2) be the initial point and terminal point, respectively, of vector V. Find…

A: Solution  Find position vector

Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

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Q: Find u+v,u-v, and 2u-5v. Then sketch each resultant vector. U=(4,1), v=(1,5) A) u+v=? B) u-v= ?…

A: First write a the point in vector form then simply add as a vector form.. Then change it to point…

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: Find the component of V, |V|= V5 in the direction of a vector from A(0,0, 4) to B(2,5, 0).

A: The vector joining the points A0,0,4 to B2,5,0 is given by, AB→=2-0i^+5-0j^+0-4k^=2i^+5j^-4k^ The…

Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩.      z = u − v + w

A: Given:                                                          u = <1, 2,…

Q: For the pair of vectors U = , V = , find U + V, U - V, and 3U - 4v. U + V =

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Q: Express the resultant vector as a linear combination. f=-3i - 10j %3D g = 11i + 5j Find:-6f +2g

A: To find -6f+2g.

Q: Express the vector x as a linear combination of the vectors u1, U2, and uz: 1 6. U3 = and x= 3.…

A: We will use elimination to find the values of the constants C1 C2 and C3.

Q: Let u = 2i - 5j      v = -3i + 7j      w = -i - 6j Find the specified vector or scalar for the…

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Q: Find the component form of the vector v. 170 O =(-8.46, 3.08 (-0.98, 0.17) O=(-8.86, 1.56) O(-9,…

A: The formula to find the x-component and y-component from vector v is given below: vx=vcosθvy=vsinθ

Q: Find a unit vector that is parallel to the line x=1+2t, y= 1-3t, z= -2+t. 3 i+ 14 रंचा रत्र 1 -k 3…

A: Given line is                                           x=1+2ty=1-3tz=-2+t Point on the line is (1,…

Q: Find the vector z, given that u = (7, 6, 7), v = (2, 2, –1), and w = (4, 0, –4). z -u -v + 2w

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