4. Let v = (1,-2, 3) and = (2,0, -1) be vectors in R. Compute each of the following. (a) 30- 20 (b) tỡ -ỡ (c) The angle between i and tw (d) ix ở (e) The projection of onto i (f) |7– ||

Q: 7. Vectors vị, V2, and u are shown below: V2 Let B = {v1, v2}. Find the coordinates of [u]g. (w» [)…

A: From the given graph we can infer that v1=(2,1) and v2=(-1,3) and u=(4,5)B={v1,v2}AX¯=bHere…

Q: 6. Find UV (dot a) Ū · V = (2, 3, -

A:

Q: Do question 11

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Consider the pointsS= (1,−3) andT= (2,5).(a) Sketch the vector−→ST.(b) Give the component form…

A: Here 2 different problems are provided. As per our Bartleby Guidelines, we are supposed to…

Q: -91 Let y = -3 and u = and 2 orthogonal to u. x₁ = 4 -2 Write y as the sum of two orthogonal…

A:

Q: 1. Compute the following for the vectors in R3, x [1 3 21T and y [40 1T y and y x (a) (b) 2 and y2…

A: From the given information, [1 3 –2]T and [4 0 –1]T.

Q: Suppose that x = (2,1,0,3),y=(3,-1,5,2), and z=(-1,0,2,1). Which of the following vectors are in…

A: A vector v is said to be in the span of the vectors v1, v2, v3, ……, vn if the vector v can be…

Q: I need help with this assignment. they all should have 4 places after the decimal place unless the…

A: Solution:

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: Q1. If O (0,0,0) in (x,y,z) 3-D space and r(2,5,1) draw the vector in 3D and find its direction.

A: Plot point in 3D

Q: 1. Which of the following sets of vectors are bases for R²? (a) {(1. 3). (1. –1). (b) {(0.0). (1.…

A: Solution: The objective is to determine the which of the following sets of vectors are bases of R2

Q: 5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendic through the points A(1, 2, 5),…

A: Introduction: When a vector is along the direction in another vector, the two vectors are parallel…

Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: Refer to the vectors u₁ to ug. 1 --0--0--0--0--0-0-0-0 U4 = -4 = 1 u6= 4 2 = (c) -4 (d) 1 U2 = 1 2…

A:

Q: Suppose u, v and w are non-zero vectors in R" such that proj(-2v) a and proj(5w)= b. Use the…

A: Projection vector of a→ in the direction of b→ Proj b→a→= a→.b→b→×b^=a→.b→b→b→2

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A:

Q: (b) (5 marks) Let u = 3i - 5j, v = -2i + 7j, Show that (u +v) (u - v) =||u||^2- ||v||^2

A: It is given that u=3i-5j and v=-2i+7j It is known that if A=ai+bj then A=a2+b2 Now find out the…

Q: If a, and b are non - collinear vector and vectors a = (x +4 y)a +(2x + y +1)b and, B= (-2x + y + 2…

A: We will solve the following

Q: Let = (1,2) and 7=(3, a) be two vectors in R². (a) For which value of a the two vectors an are…

A: Vector is parallel to another iff one is constant multiple of other .example: u=kv Orthogonal when…

Q: 6. Let A -1 8. Show that the vector is in col(A). %3D 1 -2 1 1 2)

A:

Q: M3. Which of the following expresses the fact that the vectors u and v have the same length? (a) ū -…

A: M3. The two vectors u and v have the same length if: (a)u→·v→=v→·u→

Q: Let 7 and w be vectors in R". Prove that If |7| = |7| = | 7 + |, then |7 - wf=3|7

A: