Given column vectors a and b, find the SVD of: (a) A = abT. (b) B = ab" + ba" when aTb= 0.

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

A: I am attaching image so that you understand each and every step.

Q: Find a unit vector in the same direction as 8i-j+ 4K

A:

Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

A:

Q: C A

A: We use Triangle law

Q: Find the area of the parallelogram determined by the vectors u and v.

A: Given any non-zero vectors.

Q: Find the components of the vectors u, v, u + v, and u - v, where u and v are as shown in Figure.

A: Given:

Q: find the given vector  Vector v of length 2 making an angle of 30◦ with the x-axis

A: To find: the vector v of length 2 making an angle of 30◦ with the x-axis

Q: Find two unit vectors parallel to v = -2i + 5j – 3k.

A: Given:- v=-2i +5j-3k  To find:- Two units vectors parallel to given vector v

Q: Find the area of the parallelogram that has the vectors u and v as adjacent sides, where ||u|| = 2,…

A: The area of the parallelogram is ∥u∥×∥v∥×sinθ=2×12×sinπ3=24×32=123   Here θ= the angle between u and…

Q: Find the vector in v that has magnitude 3 and is in the same direction as (7, 5). v = help (vectors)

A:

Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

A:

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: What is the resultant of vectors a and b? ( A ) GL B

A:

Q: Suppose vectors v, w, and z sum to the zero vector. If v = 8.2i - 3.8j and w = 4.1i + 1.3j, find z.

A: We have to solve

Q: Show that if u+ v and u - v are orthogonal, then the two vectors must have the same length. What…

A: Hence the two vector u and v have same length.

Q: Find the area of the parallelogram that has the following vectors as adjacent sides. u = & v =

A:

Q: Given a position vector v, why are there infinitely many vectors equal to v?

A: For given position vector, there are infinitely many translations possible. It is known that the…

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (2, 5, 3), Q = (– 3, –…

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (6, 6, 0), Q = (3, - 5,…

A: Let the parallelogram be PQRS, whose 3 vertices are P(6,6,0), Q(3,-5,6) & R(3,1,4). Then, these…

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: The inner(dot) product of two vectors and with lengths a and b. is given by a-b = abcos(y+2 T) ,…

A: The statement is true. The given statement is true because , Given a→.b→=abcosγ+2π But, cos…

Q: Find the angle a between the vectors 5 2 and 1 a =

A:

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

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

A:

Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Find the angle between the given vectors to the nearest tenth of a degree.u = <2, -4>, v =…

A:

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (– 6, – 1, 3), Q = (- 1,…

A: The corresponding position vectors with respect to origin are,…

Q: Find the area of the parallelogram that has the vectors u = (3, -1, 2) and v = (5, -4, 1) as…

A: Area of the prallelogram using cross product

Q: Find the angle between the vectors u = (2, 5) amd v =

A: Given: There are two vectors: u=2,5v=4,-3 To determine: The angle between the given two vectors.…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = j, v = j + k

A:

Q: Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

A:

Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

A:

Q: Find the area of the parallelogram that has the vectors u = (5,-1, 4) and v = (2,-3, 1) as adjacent…

A:

Q: Find the angle θ between the vectors.u = (3, 1), v = (−2, 4)

A:

Q: Determine the angle between the vectors: x 3i + -3j + -7k and y = 12i + 3j +11k

A: x = 3i -3j -7k  y = 12i +3j +11k

Q: The value of A for which the vectors 2i- 4j + Ak and 3i- 6j + k parallel are

A: Given the two vectors Let's say v1 and v2 v1= 2i-4j+lemdak v2= 3i-6j+k

Q: What is the resultant of vectors a and b? (

A:

Q: (3) Find the angle between the vectors u= 2i-2j4tk and

A: given vectors are  u=2i-2j+k  and v=3i+4k find the angle between these vectors

Q: Let u and v be vectors. If their dot product is zero what is the angle between u and v (in degrees)?

A:

Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

A: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

Q: Find the area of the parallelogram that has the vectors u = (2, -1, 5) and v = (3, -4, 1) as…

A:

Q: Find the given vector. Vector v of length 4 in the direction of = (-4, -4)

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.