1.24 Let @ be the angle that the vector A makes with the +x- axis, measured counterclockwise from that axis. Find angle for a vector that has these components: (a) Ax 2.00 m, Ay = -1.00 m; -2.00 m, Ay 1.00 m; = 2.00 m, Ay 1.00 m; (c) Ax (b) Ax (d) Ax= = -2.00 m, Ay = -1.00 m. = = = =

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

A vector 'A' has components Ax = −6.00 m and Ay = 6.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

vector (a) Is the (î + ĵ + k) a unit vector? Jus- tify your answer. (b) Can a unit vector have any components with magnitude greater than Figure E1.43 30.0° B (2.4 m) y 0 A (3.60 m) 70.0° X unity? Can it have any negative components? In each case justify your answer. (c) If A = a(3.0î + 4.0ĵ), where a is a constant, determine the value of a that makes A a unit vector. C

Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Units

1.1l Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the direction of -M + 2N; (b) the magnitude of 5a, + N – 3M; (c) |M||2N|(M + N).

The x component of vector A is-28.5 m and they component is +50.0 m. (a) What is the magnitude of A? (b) What is the angle between the direction of A and the positive direction of x? (a) Number i (b) Number i Units Units <

Let vector a= <-2,1> and vector b= <-4,-5>. Find the vector 3a+b

1.9 Given vectors T = 2a, 6a, + 3a, and S + 2a,+ a₂, find: (a) the scalar projec- tion of T on S, (b) the vector projection of S on T, (c) the smaller angle between T and S. -

I just need the answer to A