(c)Find the length and the direction of the following vectors v-9i-2j+6k

Q: и Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

A:

Q: Find the unit vector in the direction of .

A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

Q: Consider the following vectors: 17 -2 -2 u = | 2|, v w = and b 3 2 When b is expressed as a linear…

A: Here we solve the system of linear equation .

Q: bäi The cross product of the vectors 3ax + 4ay – 5az and -ax + ay - 2az * ,is -3ax+11ay-7az O -3ax +…

A:

Q: -5 and 4 4 k are orthogonal. k =

A: We know that if two vectors u & v are orthogonal to each other then the dot product or scalar of…

Q: Compute the indicated vectors and also show how the results can be obtained geometrically. b-c

A: Given: b=23, c=-23

Q: a vectors p = (2) and t = (,).

A:

Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

Q: For what values of h the vectors -3.72%3D linearly independent are

A:

Q: 2. Add the vectors by rearranging them and then sketching the resultant. u W a. Add the vectors by…

A: To add the vectors  we should sketch the x-y plane .

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

A: There is no specific formula.Please go through the solution.

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - v

A: Given :                     graph the vector :  u - v

Q: 4. Find the vector equations for the line of intersection of the following planes: 2x – y – 5z = -14…

A:

Q: snip

A:

Q: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

A:

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

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

Q: 3. Given the following vectors, find their sum, difference, dot produet and cross product. A- 2£ +…

A: All parts of Question 3 is solved.

Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

Q: Find the value of k for which the vectors 2 1 2 and -3 5 k are orthogonal. k =

A:

Q: Find the vectors T, N, B at the given point where 0sts 2n. (1 3/3 8' r(t) =

A: We want to find the unit tangent vector , normal vector and Binormal vector

Q: Given the vectors a=(-1,5,-4) and b=(2,-7,2) find the vectors x € R3 , with magnitude v371 and…

A:

Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Given the vectors P=3i - j +k, Q =4i +Qy j-2k, and S=2i -2j +2k,determine the value of Qy for which…

A: given the three vectors P=3i-+j+k , Q=4i+Qyj-2k  and S=2i-2j+2k are coplanar vectors. we need to…

Q: 6. Given the following vectors, Draw: a) a-b b) 2c + a c) - (c-b) a X b of

A:

Q: Given the vectors à = and b =

A:

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: For the pair of vectors, find 4U +3V. %3D

A: In a product of one vector with a scalar quantity, the scalar quantity is to be multiplied with all…

Q: 36) Find the values of x and So the vectors 2i+3 and xi +4j are equal.

A: Two vector are equal if and only if their magnitude are equal and have same direction.

Q: Consider the following vectors: -4 3 -4 -2 1 |, w = -2 , and b = -2 v 1 4 When b is expressed as a…

A: .

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

A:

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: Given: 6j, -4i

Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

A:

Q: Find the magnitude of each of the following vectors.     (-7,0)

A: We have to find the magnitude of the vector: -7, 0 We know that if we have vector represented as a,…

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: 4. Find the resultant using (a) the head-to-tail method, and (b) by summing up components. For the…

A:

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

A:

Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

A:

Q: 27-j+4k sī +2j-2k.

A:

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C= ix - İy + İz Find the following:…

A: We have to find the vector

Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

A:

Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: Find the vectors T, N, and B at the given point. (1, 3 1) r(t) = T = N = B =

A:

Q: If a = 2i – j+k and b = 2j – k, for which value of t are the vectors a + tb and a orthogonal? 6 2 -3

A:

Q: Given the following vectors, solve for the required.  A = 5i - 9j - 7k B = 6j + 3k +2i C = 4j -…

A: This is a problem of vector calculus, which involves the concept of dot product and cross product.

Q: Find the sum of the vectors - î + 23 + k and i = - î + 23 – 2k. %3D j +

A:

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

A: