If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2. Solve, a. Write v in terms of i and j. b. Find lvl.

Q: If w = -2i + 6j, find the following vector: 2(-2) + 4(-6) W.

A: Given: The vector w=-2i^+6j^. w2 can be calculated as, w2=-22+622        =402       =2102…

Q: If P = (-2, 3), P2 = (-1,5), and v is the vector from P, to P,, a. Write v in terms of i andj. b.…

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Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

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Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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Q: Photo attached

A: Given:

Q: photo attached

A: Find the following scalar multiplication of a vector:

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

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

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Q: Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b five times as…

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Q: If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2, a. Write v in terms of i and j. b.…

A: Given: P1=-2,3, P2=-1,5

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthąb =

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Q: Show that direction vectors of the lines 3 L: and

A: We have to find the direction vectors for the lines L1: x-32=y+14=z-2-1 and L2: x-35=y+1-2=z-32.

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: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: Given the vectors s= (-5, 1) and t=(-9, 2), find 3s and s+t. %3D Write your answers in component…

A: Given : s=-5,1t=-9,2

Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

Q: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: For vectors and shown, drawu - 2 13 19 V

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Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: If w = -2i + 6j, find the vector: [2(-2) + 4(-6)]w/lwl2.

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Q: For two vectors a and b, V

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Q: Find the sum of the given vectors; + B Å = 440 N Z 236°, B= 580 N Z 162° Draw and label a diagram…

A: Obtain the graph of vectors as follows: The third arrow is the resultant vector.

Q: For the vector, find V, -V, and 4V. 2 v = (-5, 7) 4V=

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Q: Given the vectors à = and b =

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Q: For the pair of vectors, find U + V, U – V, and 2U – 4V. = (5, 9), V = (5, -9) U + V = U - V = 20 -…

A: Let's look at the rules of operations of vectors:

Q: Two vectors ñ and m are said to be parallel if ñ-m-0

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Q: Given that - <1, 2. 3) and - (1.0. -4) (4. 0. -4) find the vector where 2+-w+3Z=0

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Q: Find two vectors v1 and v2 whose sum is , where v1 is parallel to while v2 is perpendicular to . v1…

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Q: Given vectors a, b, c, such that a = 5c + 3d and b = 2c -d, 2a -3b in terms of c and d. express

A: Given vectors, a= 5c+3d b= 2c-d

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: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

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Q: If A =i-j+3k and B = 2i +6j +3k , Find the vector proj4 and projB

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Q: Given the vectors m = (-3, 6) and n = (0, 7), find 3m and m-n. Write your answers in Component form.…

A: Given :  m = &lt; - 3 , 6 &gt;  n = &lt; 0 , 7 &gt;  Find :  3 m and m - n

Q: For the pair of vectors, find U+V, U-V, and 4U-2V. U = -9i+4j, V = 9i+4j U+V = ? U-V = ? 4U+2V =…

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Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: Express each vector in terms of i, j, and k. a) [5, 6, -4] b) [0, –8, 7]

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Q: For two vectors a and b, we always have a-b|<|a|-|b|. Select one: O True O False

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Q: Pls help ASAP. Pls show all work and steps.

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Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…

Q: For the pair of vectors, find U+V, U-V, and 2U-3V. U = , V = U+V = ? U-V = ? 2U-3V = ?

A: givenU=&lt;-3,0&gt;U=-3iV=&lt;0,2&gt;V=2jU+V=-3i+2jU+V=&lt;-3,2&gt;U-V=-3i-2jU-V=&lt;-3,-2&gt;

Q: For the pair of vectors, find U + V, U – v, and 3U – 4V. U = (5, 2), V = (5, -2) %3D U + V = U - v =…

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Q: photo attached

A: Given:U = &lt;3, 3&gt;V = &lt;3, –3&gt;