Problem 6. Given the following vectors, let W = Span{v₁, v₂, V3}. 0·00 V3 (a) s) Is a in W? Why or why not? (b) (c) V₁ V₂ 3 2 Find a basis for W and give dim W. 's y in W, the orthogonal complement of W? y=
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- Can you help me find the unique vector described in problem 2?I would need some help with problem #46 to find the vectors T, N, and B at the given point, please?In Problems 21–26, decompose v into two vectors v1 and v2 , where v1 is parallel to w, and v2 is orthogonal to w. 25. v = 3i + j, w = - 2i - j
- (a) What is the sum V of the twelve vectors that go from the center of a clock to the hours 1: 00, 2:00, ..., 12:00?(b) If the 2:00 vector is removed, why do the 11 remaining vectors add to 8:00?( c) What are the x, y components of that 2:00 vector v = ( cos 0, sin 0)?I have the following vectors, I have a problem with understanding why one becomes 'a+b' and the other 'b-a' and visualising it.If b is perpendicular to a, multiply by the three matrices in 1 to get ( cos 0)b and 0 and a vector perpendicular to b. So Qb makes an angle 0 with b. This is rotation.
- Answer all parts of this vector calc problemNeed help with these vector problems please1.Add the following displacements by the component method. 8.0 ft directed 45º northeast, 12.0ft directed south, and 20.0 ft directed 45º South of West. 2.Find the scalar product of two vectors A=4i+3j and B =5i-2j. 3Find the Angle between Vectors given in problem 2. 4.Find the vector product of vectors given in problem 2. 5.What is the Magnitude of the vector product in problem 9.
- what if it was the same vector, but 5y^2j?I reached this same conclusion " Tx=Ax1x2⇒Tx=0110x1x2⇒Tx=x2x1" but had difficulty explaining it in words because it is only a reflection with respect to the y=x line if there is a negative value in either the x or y original vector. eg. (-3,2) => (2,-3) reflects across the x and y axis however if both values of x,y are negative of positive the values stay in the same quadrant and the reflection occurs over a corresponding diagonal midline. As far as I can tell, the values are transpose vectors of one another, but transpose is not a linear transformation. I know I must be confusing some theorem or missing something, but I cannot find it. Is there something I am misinterpretting? Sometimes online classes are extra difficult when asking for clarification isn't immediate or easy, so sorry for the needed follow up.The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the magnitudes of the horizontal and vertical vector components of V, namely Vx and Vy, respectively. (Round your answers to two decimal places.)