
2. Given the vectors u = 2i + 3j and v = -3i - 2j (a) (4 points) Plot and label each vector (b) (4 points) Find w = u + v (c) (4 points) Find the unit vector of w
Use the given vectors to find u. (v + w). u = -21 - 9j, v= - 21 + 8j, w = -5i + 5j A. - 35 B. - 103 C. -68 OD. 37 Find the unit vector that has the same direction as the vector v. v = 24i + 10j The unit vector that has the same direction as the vector v is . (Simplify your answer, including any radicals. Use integers or fractions for any nume
Suppose u^bar = -4i - 3j - 5k, v^bar = -2i - 3j - 2k and w^bar = i + 3j + 5k. Compute the following values: |u^bar| + |v^bar| = _______ |-6u^bar| + 5|v^bar| = _______ |8u^bar - 5v^bar + w^bar| = _______ 1/|w^bar| w^bar = _______ |1/|w^bar| w^bar| = _______ Enter vector lengths/magnitudes as numbers. Enter vectors using i, j, k notation. For example, 3i + 4j - 2k Use exact values or at least 4 decimal place...
Question 4 Given vectors u = i + 3j and v = 21-5j, find 1.- v 2. u-v uz saved at
use the vectors v=-2i + j and w=4i -3j to find the
following
4v – 3w .
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
1- Two vectors are given as u = 2 – 5j and v=-{+3j. a- Find the vector 2u +3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes luand il of the two vectors. (4 pts) c- Calculate the scalar product u•v. (5 pts) d- Find the angle between the vectors u and v. (6 pts) - Calculate the vector product uxv. (6 pts)
2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j, w = --i +2j (b) v = -2i, w = 5j (c) v = -i + 2j, w = -1 (d) v = 2i – 3j, w = -2i + 3j (e) None of these
find the angle (in degrees) between the vectors u=5i-j and v=2i+3j. Round the answer tot at least one decimal place if possible. show all work.
9. Find the component form of the vector that starts at (3,-2) and ends at (-1,9). 10. If the terminal point of vis (4.7) and v = Ti - 13), find the initial point of v. 11. Find a imit vector in the same direction as 211 - 7. 12. Determine whether V and w are parallel. orthogonal, or neither. B. v= -2i+3j, w = -6i+9j A. V = 3i-57. w = 6i - 103 18 C. v = 3i...