Consider the following. u = 7i + 9j, v = 4i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.
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
Find the angle between u = -91 +3j - 10k and v=3i+ 10j - 2k in radians. Round to two decimal places. ОА. 1.57 Ов. 0.16 ОО с. 1.41 OD. 1.49
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
Find the angle between v and w. v= - 31+ 8j, w= w=3i+9j The angle between v and wis (Do not round until the final answer. Then round to the nearest tenth as needed.) Enter your answer in the answer box
Find the vector projVu. v=3i−j+3k, u=10i+11j+2k
QUESTION 15 Suppose u = 71 - 3j+k, v=-4j+3k. Find proj,u. O A. 21 9 5j+ 3 +-k ОВ. 60 + نوی 45 k 59 59 45 OC 105 i 59 so.it 15 k 59 4 OD. 15 i 59 + 15 k 59 59 OE. 12 9 + -k 5
Given vectors u and v, find (a) 7u (b) 7u+6v (c) v-hu. u=9i, v = 3i + 6j (a) 7u= (Type your answer in terms of i and J.) (b) 7u + 6 = (Type your answer in terms of i and j.) (c) v-6u = (Type your answer in terms of i and j.) Use the figure to evaluate a+b, a-b, and -a.
Directions: In 25-27, let u = 15-6i .V=-5+ 4i, and w=-2-i. [25] Simplify u + 3v: A) -6i B) 6i C) 30-6i D) 30+6i E) none of these [26] Find the sum of the conjugate of v and the conjugate of w. A)-7-31 B) -7 +31 C) 7-3i D) 7+3i E) none of these [27] Subtract w from u. A) -17-71 B) -17+5i c) 13-5i D) 13-71 E) none of these
1- Two vectors are given as u = 2î – 5j and v=-î +3j. a- Find the vector 2u + 3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes lil and 17% of the two vectors. (4 pts) c- Calculate the scalar product uov. (5 pts) d- Find the angle 0 between the vectors ū and . (6 pts) e-Calculate the vector product u xv. (6 pts)