v= (-8,-6) and w=(-12,5) Find the following given: 3v – 2w = а. +w = с. Find the unit vector having the same direction as V. b.

Q: The direction of vector 6i – 6j is

A: The direction of a vector is given by the formula

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Q: Find the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

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Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: The magnitude lvl and direction angle θ are given as lvl = 10,  θ = 330° We need to write the…

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A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: If v = 5i + 4j, find the vector -3v.

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Q: Given initial point P1 = (-2, 3) and terminal point P2 = (6, 5), write the vector v in terms of i…

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

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Q: Show steps clearly.

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Q: Find the unit vector in the same direction as v. v=i-3j

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Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C = ix - iy + iz Find the following:…

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Q: Write a vector equation for the line segment from P to Q. 4

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Q: Find the value of z of vector A= 3i +3j+ zk if ß = 59.04° and y = 46.686° %3D

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Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

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Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

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Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: Consider the points P(2,7) and Q(6, 4). Write PQ as a product of its magnitude and a unit vector in…

A: Given points are P(2, 7) and Q(6, 4).

Q: Find the x-component of this vector: 47.3 m 39.4° Remember, angles are measured from the +x axis.…

A: To find:- x and y components of given vector in figure

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A: Given vectors are u=&lt;3,2&gt;and &lt;9,1&gt; Now, we will find the given value.…

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A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

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

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Q: If v = 5i + 4j, find the vector 6v.

A: Consider the following vector: v→=5i^+4j^ Consider the following expression:…

Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

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Q: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: If U1 and U2 are orthogonal unit vectors and V = aU1 +b U2, find V.U.

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Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: Given initial point  P1 = (2, 5) and terminal point P2 = (−1, 6),write the vector v in terms of i…

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Q: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

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Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Given a the vector equation r(t)=(2+4t)i+(3−4t)j+(−4−1t)k, rewrite this in terms of the symmetric…

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Q: If v = 7i + 10j, find the vector -5v.

A: We have been given the vector v=7i+10j, and we have to find -5v

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: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Given the magnitude and direction, give the vector in component form . Round to the nearest…

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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Q: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

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Q: Q.3 For what value of m, the vector 4i + 2j - 3k and mi - j+ 3 k have same magnitude?

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Q: For v= 3i+j and w= 8i-6j , find. a) 4v-2w b) the unit vector in the same direction as w

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Q: Write the vector v in terms of i and j whose magnitude||v|| and direction angle θ are given.

A: Any vector can be break down into its components if we know its magnitude and its direction. The…