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Q: Find the component form of the given vector. 5 -3

A: Consider the given vector. It has initial point at the origin 0,0. The terminal point of the given…

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

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Q: Find the component form of the given vector V. belaw Dont forget round off to two decimal piacees.…

A: a) given that : r=14 &amp; θ=55°  then components of the vectors are x=rcosθ , y=rsinθ   therefore…

Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: 14. Draw the vector V that goes from the origin to the given point. Then write V in component form…

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Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: 4. Subtract the vectors shown. (blue - green)

A:

Q: Find the component form of the given vector. y 6 4 3 1 3 4 6.

A: The x coordinate of the point is 5

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

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: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: Express the vector in the form v = V¡i + v2j + v3k. P2 if P1 is the point (4, -5, 6) and P2 is the…

A: Given :                      P1 4,-5,6 and P2 6,-8,2

Q: express each vector as a product of its length anddirection. 5k

A: Given vector is a→=5k^⇒a→=0·i^+0·j^+5k^ We know that direction of a vector a→ is given as a^=a→a→ ,…

Q: Write the component form of a vector v with initial point P and terminal point Q. P(-1,-10), Q(-1,…

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Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: A vector is written as aî + bĵ. What form is that?

A: A vector is written as aî + bĵ.

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: express each vector in the form w = w1 i +w2 j + w3 k. AB if A is the point (1, 0, 3) and B is the…

A: express each vector in the form w = w1 i +w2 j + w3 k. AB if A is the point (1, 0, 3) and B is the…

Q: Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is…

A: Given that Position vector of u→=3,4 So, graphically it is as below:

Q: 一1- 2. Write 3 as a linear combination of the vectors +

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Q: Find the resultant of the vectors A and B. Ả = A = 8a, + 7ay + 2a, B = -Зах — 8ау — ба, Draw the…

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

A: Given vectors

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 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: 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: Determine if the vector is a linear combination of the remaining vectors. Explain the steps.

A: We will check whether the vector v is linear combination of others or not.

Q: he vector as a

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Q: 5 Given that p andr , find in column vector form: 4 p-r ep-2

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Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: draw the vector -u+ 2v + 4w

A:

Q: Describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7 Part (b) For each vector q and r, determine if the vector is in the span of the vectors w,, W,,…

A: Given vectors are  w1=1-124w2=230-2, w3=3-516, w4=1630 q=-893-4,r= -76-87

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: Let 7 =, if the vector w is in the opposite direction of the vector 7 and w= 3, then u

A: The given vector is u→=3,-4,2, the vector w→ is in the opposite direction direction of the vector…

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

A:

Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

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

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Q: a a

A: For first figure. a→+a→+b→+d→-c→=02a→=-b→-d→+c→a→=-b→-d→+c→2    Answer

Q: Show that if x and y are two vectors, then

A: To show : If x and y are two vectors, then x-y≤x±y≤x+y Pre-requisite :  Cauchy-Schwarz inequality…

Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O…

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Q: .3

A: Given: v={ √2,3√2}

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: 3- Rewrite the vector v in the form a + ib, where vectors a and b have only real components.

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

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Q: Find the component form of the vector.

A: Consider the figure: Find the component of form of a vector v.   The component form of a vector in…

Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result…

A: We can solve this as follows: