The product of an NxN matrix with an Nx1 vector is an NxN matrix. True False
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- Two vectors A and B are shown in the figure. Vector A has a magnitude of r = 24.5 and an angle of 0A = 25.9°. Vector B has a magnitude of rB = 44.5 and an angle of 0B = 61.5°. The figure is not to scale. Express each vector in the figure using ijk unit vector notation, A = Axi + Ayj B = B₂i + B₂j where Ax, Ay, Bx, and By are the calculated values of the x- and y-components of vectors A and B, respectively. A = B = B TB OB TA 0Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form (U‚Î + U‚ĵ) N = U₁ =Consider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =
- Vector A has magnitude 27 and direction 168°. Vector B has magnitude 39 and direction 270°. Find the resultant vector R, which is the sum of these two vectors.A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit vector û .The vector B⃗ is added to a vector C⃗ given as C⃗ = −3i ^ + j ^. The resultant vector obtained as a result of this process is R⃗ = B⃗ + C⃗. The resultant vector is in the positive y direction and the size of this vector is equal to the size of the B⃗ vector (| R⃗ | = | B⃗ |). According to what is given; a-) What is the size of the B⃗ vector? b-) What is the angle between the vector B⃗ and the vector C⃗?
- During a walk through a park, a person wanders to look at three different gardens. The person makes three successive displacements as follows, 30 paces due north (vector A), 50 paces @ 15o south of east (vector B), and 40 paces due west (vector C). Using the head-to-tail method of vector addition make a rough sketch of the resultant displacement vector. Using the component method of vector addition, determine the magnitude (in paces) and direction of the resultant displacement vector. ________ @ __________The vector v has magnitude 13 and makes an angle of 285 degrees with the positive x-direction. Express v in terms of components, with i and j being unit vectors pointing in the x and y directions respectively. Give each component to 1 d.p.A displacement vector in the xy plane is 48.0 m long and directed at angle = 35.0° in the figure. Determine (a) the component and (b) the y component of the vector. Ensure you state the correct units.