Let vector a = <-2,2,4> and vector b = <5,2,4> Find a x b

Describe two vectors and such that Have you considered all possibilities? (a) a + b = and a + b = c; Hint and and 07=0. □ ā=0. are perpendicular. are in the same direction. Pretend these are not vectors and solve. (b) a + b = à-b; 07=0. a and and O = 0. are in the same direction. are perpendicular.

Given the following three vectors: A = -9î+7), B = -6î -10} and vector C has a magnitude of, |=9 and makes and angle of 0=297°. Determine: a) D = A - C + 3B and D b) The angle that vector D makes with respect to the positive "x" axis.

Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find a vector that is orthogonal to both v and w

It is known that ? = 5? + 4? + 2?, ? = 4? - 5? + 3?, and ? = 2? - ? - 2? a) Find the value ? ∙ ? and the angle between vectors a and b b) Find the magnitude and direction of the cosine of the vector ? × ? and also the angle created by the resulting vector ? × ? with the vector c.

Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)

Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

Two non-zero vectors A and B both lie in the xy-plane. The only thing that you know about these vectors is that vector sum (A+B) points exactly in the Ĵ direction (the +y direction). What can you say for certain about the components of these vectors? (Hint: draw a vector diagram) A) Ax = Bx B) Ax = - -Bx C) Ay = - By D) Ax = By Ay = - Bx ○ A О B O ○ U D OE

B U Bx = 12.2 cm. Consider vector B pictured below and the given length for Bx = 12.2cm and 0 = 24.0 What is the length (the hypotenuse) of vector B ? 2 51

40. Vectors A and B each have a magnitude of 5 m and point to the left. Vector A begins at the origin, while vector B begins at a location 8 m to the right of the origin. (a) If the positive x axis is pointed to the right, what is the x com- ponent of each vector? (b) If the positive x axis is pointed to the left, what is the x component of each vector?..