vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
1) 2) Use the vectors u = 2i - j, v = 21 - 3j, and w = -3i + 5j to evaluate the expression. 2v - u + w Find a unit vector in the same direction as the given vector. a = 201 - 21j
Find the equation of a plane that is perpendicular to the vector 2i −2j +3k and passing through the point (3,4,−2) The plane is given by:
For a = 2i - 3j + 4k, b = 5i + 2j + 6k, find a times b For a = -5i + 3j - 6k, b = 2i - 2j + 3k, find a times b For a = 7i - j + 3k, b = i + 3j - 4k, find a times b For a = 2i + 3j + 5k, b = 4i + 2j - 3k, find a times b
Find a vector that is orthogonal to u = -2i+ 5j - 3k and w = 3i+2j+k.
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 (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.
© Examples: 1. Find the direction angles of for the vector v = 2i + 3j + 4k, and show that cos?a + cos?ß + cos2y = 1. 2. Find the direction angles of the vector v= 2i + 3j – k. O P1. Find the direction angle of line determined by the origin and the point P(2,-3,6) OP2. Find the direction cosines of the line directed from P1(1, -3,4) to P2(4,3,-2).
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...
a. Find the projection of u 21j+3k on y- -i+3j+2k. Hence resolve u into two vectors, one parallel to y and the other perpendicular to v. b. Resolve v into two vectors, one parallel to υ and the other perpendicular to u.
Find the vector projVu. v=3i−j+3k, u=10i+11j+2k