3-4. Suppose n is the length of the vector, to determine a vector three times of its length in the same direction, apply scalar multiplication with 3, n, and the vector itself.

Q: Find the length of the vector I -6 -5 ||

A: x→=x1x2x3length of vector x→ is (x1)2+(x2)2+(x3)2

Q: 2- We can write the vector x = (19,–1,–) in R³ as a linear %3D combination of the vectors x1 = (4,2,…

A:

Q: Find the vector in AB R2 given in the figure. 6 AB = help 4 (vectors) 1 2 3 -1 -6 -5 -4 -3 -2 -1 6.…

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Q: 1 7. Write the vector -1 as a linear combination of vectors in S =

A: Let's find.

Q: -4] Let i = -1| be a vector in R°. 4 Find the length of vector –4ã. 1-4페

A:

Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: Find the vector projection of b = 6î + 3ĵ + 2k onto å = î – 2ĵ – 2k.

A:

Q: The vector (-1, 5, 3) is orthogonal to vector : Select one: О а. (0, 1, -2) O b. (-1, 1, -2) О с.…

A: Two non-zero vectors are orthogonal to each other if their dot product is equal to zero.

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: The vectors --[+]»-[i]»-[3]m² -]»-[3]»=[] V2 = span R2 but do not form a basis. Find two different…

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Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

Q: 12 2 Determine if the pair of vectors v₁ = 3 V₂ = =-3 are orthogonal. -5 3

A: We have to find whether the given two vectors are orthogonal or not?

Q: 3 Find the length of the vector i -1 -5

A: For any vector x= [a  b  c] it's length is given by ||x||= √(a^2+b^2+c^2) Given vector x=[3  -1  -5]…

Q: When decomposing the vector A= 2i - 1 + 3k into the sum of two vectors, the first is parallel to the…

A:

Q: If a vector is expressed in terms of i and j, explain how to find the scalar multiplication of the…

A: The vector quantity has both magnitudes as well as the direction. if we multiply a vector by a…

Q: -2 Let i -4 be a vector in R³. -2 Find the length of vector -3. || – 37|| -

A: Multiply the given vector with -3

Q: 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0, -1] in R'. Decide whether they…

A:

Q: 5. Express the vector having magnitude 7, and direction 13 degrees (when drawn in standard…

A:

Q: 5. Express the vector having magnitude 7, and direction 13 degrees (when drawn in standard…

A: Solve the following

Q: Consider the vectors in R2 3 2 (3) Express as a linear combination of the vectors Select one:…

A: Here we have to find the linear combination.

Q: 8.) Find a vectorx such that 5x-2v=2(u-5x) SOLUTION

A:

Q: the component of vector a are ax=2.0 units and ay=3.0units while that of another vector b are Bx=…

A: Given components of two vectors: Components of a are: ax=2.0 units and ay=3.0 units, Components of b…

Q: 4. Given the vectors 3 -3 -6 X1 = -2 X2 = X3 = 4 4 what is the dimension of Span(x1, X2, X3)?

A: The given vectors are,x1=3-24, x2=-32-4 and v3=-64-8

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: 3- Suppose that A = {x1 = (2,1,3), x2 = (2,0,1), x3 = (3,0,4)} then [A] = R³, then the scalars we…

A: We will use the fact that any arbitrary vector in  R3 is of the form (x,y,z).

Q: 1. The vector in the opposite direction to u = (-1,0) and of half its length is 2. The vector of…

A: 1.The vector is u=<-1,0>2.The vector is v=<-4,5,-3>

Q: 3. 2 Find a non-zero vector in R* which is orthogonal to 1 and 2 1

A: Given vectors are 1234, 3121 and 2311. We have to find the non-zero vector in R4 which is orthogonal…

Q: - 16] [1] Determine whether the vector v =| 17 |is spanned by the vectors and | 2 or not. 18

A:

Q: 3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

A: As we know that, the rotation matrix when the vector rotates about the z-axis in the…

Q: 4. Write the vector (1, 2, –2) as the sum of two vectors: one that is parallel to the vector (1, 1,…

A:

Q: 3. (a) Find the terminal point of the vector that is equivalent to u = (2, 3) and whose initial…

A:

Q: 3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the…

A: To solve question 3 I will take the help of eigenvalue and eigenvector of a matrix because question…

Q: 8. a. Using the vectors x = (3, 3, 1) and y = (-−1, 2, -3), verify that the following formula is…

A:

Q: b) Express the vector (–1,5, –6) in R³as a linear combination of (2,0, 7), (2,4, 5) and(2, –12,13).

A:

Q: 2- We can write the vector x = (19,–1, -) in R³ as a linear combination of the vectors x1 =…

A:

Q: 1] Suppose that W, N are non-zero two- dimensional vectors which are not parallel. Show that if C is…

A: We have to solve given problem:

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

A:

Q: 2 Find The vector novmal to The vector A=2i-3;

A:

Q: - Find the length of the vector -3v if v = (2, 3, -2, 1).

A: Givenv=(2,3,-2,1)-3v=(-6,-9,6,-3)

Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: What is the component and projection of the vector Å x B into the vector N 0.87 + 0.6k , if the…

A:

Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: Example 2: Find the unit vector in the direction of v = (-1,3,4) and verify that this vector has…

A:

Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.

Q: 1-2. In R°, the cross product of a unit vector and a zero vector is a zero vector.

A: TRUE

Q: 1. Consider the vectors x¡ = (8, 6)' and X2 = (4, –1)' in R?. %3D (a) Determine the length of each…

A: (a)

Q: The scalar projection of the vector 7 = (-2, 3, 1) on 7= (2m, -1, 3) is -1. Determine the value of…

A: Follow next step

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

A: