Point A is defined by A = (3, −2, –3). The component of the vector OA resolved in the direction of the y-axis is: Select one: O a. 3i O b. -2j O c. 2j O d. 3k e. -3k

Q: Given vectors u=⟨−2,−10⟩ and v=⟨−36,7⟩, find vector u+v.

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Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: Determine the value of k for which the vectors u and v are orhogonal u = (1, k, –3), v = (2k, –5, 6+…

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Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: Determine ä xb and bxå. Confirm that the cross product is orthogonal to each vector. ā=[4, –3, 5],…

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Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

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Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

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Q: Find the vector PP,: 5. P, P2 12 2 4 6. 4

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Q: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

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Q: : For given vectors, a-2i - j+ 2k and b=-i + j- k, find the unit vector in the direction the vector…

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Q: Use the figure and write the vector in terms of the other two vectors. v=

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Q: Find the component form of the vector 1 The vector PG where. På PC1,3) and Q5 (2₁-1). The vector…

A: To find the component form of the vector.(1) The vector (2) The vector from the point  to the…

Q: Given the points C(-4, –5) and D(-1, 1), express the vector CD in terms of i and j.

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Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=&lt;8, 0&gt;

Q: Given vector u = (-3,2) and v = (-3, –1) , determine the value of v – 2u ir component form.

A: We can determine the component form as below.

Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

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Q: Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector .…

A: The vector equation of the line which is passing through the point (h, k, l) and parallel to the…

Q: P is the point on the line such that AP:PB = 1:3 A a P

A: Given: P is the point on the line such that AP:PB=1:3

Q: Let the vectors x = (-0.3, –4.6, –3) and y = (4.1, –-2.2, r) Determine the value of r such that the…

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