The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector. P= (0,0); Q = (6,8) (Simplify your answer. Type your answer in the form ai + bj.)

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: Find a unit vector having the same direction as the given vector. (-7, 7)

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Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: What is the component form of the vector represented by 2a when a (-23)7

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Q: Given initial point  P1 = (−2, 1)  and terminal point  P2 = (5, 4),  write the vector v in terms…

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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: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Draw the vector V that goes from the origin to the given point. (3, -4) y -6 -4 -12 2 -4 -2 -2 -4 y…

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Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: The given vector is (5, -5)

Q: Write the vector v = ⟨2, -4, 4⟩ as a product of its magnitude and a unit vector with the same…

A: Given vector is  v=2,-4,4 Magnitude of vector v  is v=(2)2+(-4)2+(4)2=4+16+16=36=6 Now, unit vector…

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

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 the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: Find the vector -3u+4w given the vectors u = -i-7j and w = -9i+4j. Write your answer in the form…

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

A: We have to find unit vector

Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the…

A: Given that, u=83, -29v=82, 59

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: The given vector is -2,5.

Q: For the vector, find 2 -V, and 4V. V = 2i + 8j Your answ -v =-2i – 4j 4V = = 8i + 32j II

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Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: Given vector V→=3, -3

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

A: Given, P -4,-1, Q 3,-5 The vector v from the point P to the point Q can be represented as: The…

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: Sketch the vectors

A: Solution : The magnitude  of |a| , |b|, |c| are  |a|=a1+a2|b|=b1+b2|c|=c1+c2 a=(-3)2+22     =9+4…

Q: C a

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Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

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Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

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Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

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

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

Q: Find a vector equation of the line that passes through A(5,-4) and B(1,-1)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the vector v, where u = (-1, 3) and w = :(-3, -1). v = u + 2w Illustrate the specified vector…

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Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: Consider the given point 1,4 and origin 0,0

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: we have to , Draw the vector V that goes from the origin to the given point. Then write V in…

Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (17,…

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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: 2. Translate the triangle with vertices A(3, 4), B(2, − 1), and C(4, 12) along the vector (-1, 3).…

A: translate the triangle with vertices A3,4 , B2,-1 , C4,12 along the vector -1,3. find the…

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

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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 the vector equation of a line ?L going through the points (4,−2)(4,−2) and (4,−3)(4,−3).

A: given information : r0=(4,-2)r1=(4,-3)equation of line=r0+t(r1-r0)

Q: Find the component form of the resultant vector. 6) а-(-6, -12) g = (-11, -9) Find: -a + g a

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Q: Write the component form of v, given the vector has an initial point Pand a terminal point Q.…

A: Initial Point P(3,-2) and Terminal Point Q(5,-5) Component Form v = <5-3,-5-(-2)>…

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: Find the component form of the vector PQ, where P= (3,3) and Q = (5, - 8). The component form of PQ…

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: b Write the vector b in terms of the other vectors. C.

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.