[7 points) Given the point A(1,2,1) and the vector v = (2,1,5): (a) Find the point B such that AB V. (b) Find the unit vector u in the opposite direction of v. (c) Find a vector equation for the line L which passes through A and is parallel to v. (d) True or False?: The line L is a subspace of R3. Give a brief explanation of your answer. (e) Find a general equation of the plane P that...
A)= B)= C)= A vector is given by R 2.20 î + 2.40 j+ 2.92 k. (a) Find the magnitudes of the x, y, and z compon (b) Find the magnitude of R. (c) Find the angle between R and the x axis Find the angle between R and the y axis. Find the angle between R and the z axis.
3. (Point 32) Using the Graphical Method (Head-Tail), Try the Resultant Vector and Equivalent Vector. Vectors, A-(3.00 N, 1809), B-(3.00 N, 30%), and C-(8.00 N, 330%) are given. a) Starting from Vector A, draw the Resultant Vector and Equivalent Vector by using H-T method. R-A +B+C, R+E-0. Vector, A is given. From starting point A, draw B, C, R, and E vector. 0 T b) Find the magnitude of Rusing graphical method. c) Find the angle of R using protractor....
Given r(t)=2sin(t)i+5tj+2cos(t)k, find the binormal vector B(t). Write your answer using standard unit vector notation.
b) Calculate the components of the vector C c) Find the magnitude and direction of the vector C 1.) The vector A is given by the magnitude |A4.4 cm and the direction with respect to the +1-axis θΑ-140°. The vector B is given by the r-component Bz-4.4 cm and the y-component By3.2 cm
to a 4.0e north of west. Vector B points 62.0" east of north. vector C points 11.0 west of south. These three of the following vectors vectors add to give a resuitant vector that is zero. Using components, find the Section 1.8 (a) due east (b) due north kom
For the following parameterized curve, find the unit tangent vector. r(t) = (e 21,2 e 21, 2 e -8t), for t20 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. T(t) = (Type exact answers, using radicals as needed.) O B. Since r' (t) = 0, there is no tangent vector.
in the direction of the vector OR. Put your answer in the Given the points P 2.3.1). Q (-1.1.2) and R (1.1.0) a) (3 pts) find an equation for the line that passes through the point form r(t) = (x(t), y(t), z(t)). b) (4 pts) find a non-zero vector normal to both Po and QR c) (3 pts) find an equation for the plane containing the points P Q and R. Put your answer in the form ax+by+cz =d.
Vector A has a magnitude of 146 units and points 36.0° north of west. Vector B points 63.0° east of north. Vector points 16.0° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of the following vectors e) vector B x units (b) vector C x units Enter a number
Question 17 Find the vector x determined by the given coordinate vector [x]e and the given basis E B = ={{3}}]} x6 =12 O [3] لها 0 (1) 1992