Lili walks 100 m to the east, and then 300 m to the south. Match the answers with questions. (Hint: Draw the vector diagram.) v Lili's distance A. 316 m, 18° South of East Lili's displacement B. -300 m Lili's displacement due east C. 400 m v Lili's displacement due north D. 400 m, 18° South of East E. -100 m F. 300 m G. 400 m, 72° South of East H. 100 m I. 316 m, 72° South of East

Number 6

6. For vectors B = -î – 4ĵ and Å = -31 – 2j, calculate: a. Ā +B and its magnitude and direction angle b. A-B and its magnitude and direction angle.

F2-19. Express rAR as a Cartesian vector, then determine its magnitude and coordinate direction angles. 3 'm ГАВ 3 m -4 m х

3. Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant with a magnitude less than the magnitudes of either A or B? Explain your answer. You may use illustrations,

Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0° cw from the -y axis a) b) Sketch the vector ₁ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of ₁. Write the vector in terms of its components using unit vector notation. c) d) e) v₂ – v- Calculate the x- and y-components of the change in velocity defined as A = Write the vector Av in terms of its components using unit vector notation. Sketch the vector A on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. f) g) Calculate the magnitude and direction of the vector Av. h) Finally, write the vector Av in terms of its magnitude and direction. Sketch the vector v₂ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of 7₂. Write the vector ₂ in terms of its components using unit vector notation.

Physics- VectorsSee attached picture for the question.

Need some assistance figuring this one out! , d1 = 3.3m , d2 = 1.7m , d3 = 2.9m , d4 = 4.2m , h = 6.5m  7. Express cable AD as a position vector. (rADx, rADy, rADz) 8. What is the  length of cable AD ( |rAD|  ) 9. What is cable AD as a unit vector ? (   uADx, uADy, uADz  ) 10. What is the tension on cable AD  ( TAD)

Three force vectors are added together.  One has a magnitude of 9 N, the second one a magnitude of 18 N, and the third a magnitude of 15 N.  What can we conclude about the magnitude of the net force vector?  Explain. I.       It must equal 42 N. II.     It cannot be 0 N.      III.    Anything from –42 N to +42 N.  IV.    It can be anything from 0 N to 42 N. V.     None of the above can be concluded.

Prob. F2-14 F2-15. Express the force as a Cartesian vector. F= S00 N 60 Prob. F2-15