Which of the following vectors represents ā in component form? а. (5,-1) b. (1,–5) c. (-1,5) d. (-5, 1) e. None of above

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: If the vectors a=(2,5,-1) and b3(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Which of the following vectors represents -3e in component form? a. (9,-6) b. (-3, 2) 4. c. (-9,6)…

A: As per our guidelines only one question can be solved. Please find the solution for the first…

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: Determine if i = (1,0.-4) and w=(9,3,1) are parallel vectors.

A: Use the vector product to show the given vectors are parallel.

Q: Let a = (-1; 3; 2) and b = (4; -2; 1). Find two unit vectors orthogonal to both a and b. Are the…

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Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

Q: Which of the following is parallel to the vector (-14, 0, 7)? i. (-2, 0, -1) ii. (14, 0, 7) iii. (1,…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

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Q: Find the magnitude of the given vector. (2, 6, –2)

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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: Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). 7(t) =…

A: The vector equation of a line passing through any two points with position vectors a  and  b is…

Q: Suppose that the vectors below have the following components: a = b= č = What is the exact value of

A: We have to find the exact value of the given vector multiplication.

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: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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

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Q: 6- which of the vectors X-(1,2),Y =(0,1),Z =(-2,-4 ) ,W=(-2,1), U=(-6,3) are orthogonal ,in same…

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Q: Give the vector equation of the line passing through P and Q

A: To find the equation of the line passing through P and Q.

Q: Assume that the vectors a, b, c, and d are defined as follows: а - (2, 3) ь - (7, 4) с- (6, -5) d -…

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Q: 2. Find the cross products of the vectors in the diagram above.

A: The concepts to be used: (i) The components of vectors can be written in terms of cosine and sine.…

Q: Find a vector perpendicular to d = [5,–4,6] and h = [-1,3,9].

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Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )…

A: Given problem:-

Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: (2) For the vectors ä = (-1,3, 4) and 5= (-2,2, 0) calculate the following: (a) ãoË (b) ä x b (c) A…

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

A: Given,

Q: 1. Assume the lengths of the vectors 2a – b anda+ 3b , assuming a = (2,1,3) and b = (-1,2,2)

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

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

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Q: write the given vector in terms of I and J. u={-8, 10} u=???

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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: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1,…

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Q: Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). F(t) =…

A: Given: Let A(7,6,2) and B(2,14,2) be the two points the line passes through To find: vector equation…

Q: If the magnitude of the vector u is √2 and its direction is 225°, then its components are:   (1,…

A: Solution of question as follows

Q: 2. (a) Compute ||(1,2, 3)||- (b) Find the angle between the vectors (1, v3) and (1,0).

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Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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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: Let a = (-1; 3; 2) and b = (4; -2; 1). (b) Find two unit vectors orthogonal to both a and b. Are…

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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: Give the vector equation of the line passing through P and Q.P = (1, 1, 0), Q = (1, 0, 1), R =…

A: P=(1,1,0) and Q=(1,0,1)we have to find vector equation of the line passing through these points

Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: Let a and b be vectors on R³. Suppose a = (-2, 3, 482+ 1) and b = ( 8 + 1, -2, 4) What must be the…

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Q: Given that = <1, 2. 3) and - (4. 0. –4) find the vector where -W+37-0

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