Find the length of the vectors. (i) 5i - 5j - 3k (ii) 1.4i + 0.6j + 2.8k

Q: Given vectors P = 4i - 2j + 5k ; Q = -i + 3j - 6k ; find PxQ. a. -3i + 19j - 10k b. 3i - 19j + 10k…

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Q: [P] 3 as a sum of one vector from x-axis and one from the y-axis. 8. 3. Write the vector u =

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Q: 5 -4 -3 -2 -1 -1 1 2 3 -2 -3 -4- Find the components of the vector – 3c based on the vector shown. -…

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Q: 3- Two vectors 4=2i +3) and B=-i+2/ lying in the xy-plane, the Ax B can be written ..... Ax B-2 3…

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Q: solve this using vectors?

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Q: 2. Suppose that you have a circular clock of radius 1, and 12 vectors are placed so that their tails…

A: Given that a circular clock of radius 1 and 12 vectors are placed such that their tails are at the…

Q: Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the…

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Q: How do you add two vectors geometrically? How do you add them algebraically?

A: To add the vectors we position them to head to tail  Then we connect the loose end points of them…

Q: 1 3 A = -2 -1 -2) 2) nd vectors x = 1 and y =

A: To find the inverse of matrix A, first check its determinant that whether the matrix is invertible…

Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

Q: vi. : the sum of nonzero multiples of two of more vectors or equations.

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Q: Add the vectors E = , F=, G .

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between…

A: 1. Find the distance between the points A-1,3,7 and B2,-1,6. 2. Find the angle between the vectors…

Q: How do you add two vectors algebraically? Geometrically?

A: Solution: Consider the two vectors: u→ = u1, u2 and v→ = v1, v2 Then the sum of u→ and v→is called…

Q: 1. What do the two vectors equal to? 12 20 %3D + 2. What do the two vectors equal to? + 10 %3D 3.…

A: Concept: If two vector having same direction then can simply add. If two vector having opposite…

Q: 8 - at point O in the figure F1 = 119i + 124j F2 = -113i + 117j F3 = -115i - 108j F4 = -137i -…

A: To find the sum of the given four vectors, we have add all the x components (I) together and all the…

Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: 4 Are the vectors and 2 linearly independent? Choose If they are linearly dependent, find scalars…

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Q: Vector A = 6i + 2j - 3k Find the

A: Given: Vector A=6i+2j-3k  To find: Scalar component of A perpendicular to the x-axis.

Q: vectors

A: We have to define vectors.

Q: -7 -3 Find out the area of the triangle whose two sides are given by the vectors: V1 and v2 = -5 8 1…

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Q: Exer. 1–8: Find (a) the dot product of the two vectors and (b) the angle between the two vectors. 1…

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Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume = Find a…

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Q: (1) Choose two vectors v1, v2 in R 2 and another vector b also in R 2 . Find scalars x, y in R such…

A: (1) To choose two vectors v1, v2 in R2  and anther vector b also in R2 such that xv1+xv2=b, x& y…

Q: 6. We have two vectors: a =) and b= 8 What is the resultant of -a plus b? (

A: Given:     To find: -a + b

Q: (a) Find symmetric equations for the line that passes through the point (2, -5, 9) and is parallel…

A: To find: (a) The symmetric equations for the line that passes through the point ( 2, -5, 9) and…

Q: Express the vector - 14i + 8j - 8k as a product of its length and direction. - 14i + 8j- 8k =TOi+…

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Q: Choose two vectors v1, v2 in R^2 and another vector b also in R 2 . Find scalars x, y in R such that…

A: As per our guidelines, since you have asked multiple questions, we will solve the first question for…

Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: inear combination of the vectors (-1, -1) and (-1, 1).

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Q: 18. The sides of a rectangle are formed by vectors A and B with |A =2 and B = 5. Determine the area…

A: Explanation and solutions is given below...

Q: 1 Findtheanglebetween the vectors

A: Given: (a) 1,-4and 3,2            (b) -3,1and4,2 To find the angle between the vectors The formula…

Q: Determine the scalars K and S that make the vector u a linear combination of the vectors v and w.…

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Q: If  a= 3/2    write the following vectors in column vector form: -3a = (   )          1.5a = (   )

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Q: Vectors (C)-« We have two vectors: a-(:) and b-) What is the resultant of -a plus b?

A: 64=a             58=b and we have -a as  -a=-6-4 now -a+b= -6-4+58 which is further equal to  -a+b=…

Q: Are the vectors 3 - 37 + 127?, 9 – 15x + 3x² and -6 – 18æ + 15x² linearly independent? choose If the…

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Q: Find the values of x such that the vectors and are orthogonal

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Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: How do I solve these questions using vectors?

A: As per our company guidelines we are supposed to answer only first sub-parts. Kindly repost other…

Q: The zero vector 0= (0, 0, 0) can be written as a linear combination of the vectors v, Va, and v,…

A: We have to find a non-trivial way of writing 0 as a linear combination of three vectors.…

Q: How do you know if three vectors are on the same line? (when they are on the same line we call them…

A: Let the three vectors be V1, V2 and V3.   V1, V2 and V3 will be on the same line or co-linear if…

Q: 7-8. Vectors in the same direction are always parallel.

A: 7-8     two vectors U , V are parallel if there cross product is zero.        now U*V = |U| |V|…

Q: rI2-3 Let A = For which vectors b does the L-34 6 7. equa tion Ax=b have a solution!

A: We have to find the vector b.

Q: A taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C.…

A: A taxi route is from A to B to C.  In the below figure: All square blocks are of same edge length.…

Q: Find all solutions, if any, to the given system of equations. Express your answer in vector form. +…

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Q: QI) Find the area of a triangle formeal from- thetwo-Vectors- a= ē = 2i-j+4k.

A: The area of a triangle formed by any two vectors A and B is given by 12A×B. The given vectors are…

Q: 8. a. Using the vectors = (3, 3, 1) and ỷ = (-1, 2, –3), verify that the following formula is true:…

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Q: vectors on the number line to compute the following. Take a picture of your number lines and answers…

A: Find your answer below