The polar coordinates of a certain point are (r = 4.30 cm, θ = 214°). (a) Find its Cartesian coordinates x and y. Find the polar coordinates of the points with Cartesian coordinates (b) (-x, y), (c) (-2x, -2y), and (d) (3x, -3y).

Vector v = <-4,4>. Find the angle in which the vector v points (measured counterclockwise from the positive x-axis, where 0 is less than/equal to theta which is less than/equal to 369 degrees

The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the polar angle of point P?

The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

What is the angle θDθD​formed by D⃗ (from the picture) and the +x+xaxis? Use counterclockwise to denote positive angles. Answer with 2 significant figures.

In the sum A + B = C, v A has a magnitude of 13.7 m and is angled 49.0° counterclockwise from the +x direction, and vector has a magnitude of 15.8 m and is angled 24.1° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number. (a) Number i (b) Number i vector Units Units

If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.

The two vectors a and b in the figure have equal magnitudes of 13.3 m and the angles are 0₁ = 25º and 0₂ = 104°. Find (a) the x component and (b) the y component of their vector sum, (c) the magnitude of 7, and (d) the angle makes with the positive direction of the x axis. (a) Number (b) Number (c) Number (d) Number IN 8.8 18.5 20.5 65.7 Units Units Units 0₂ 3 3 m Units °(degrees) x

Imagine that you take the cross product A x B, where A=2x + 74 and B=2x + € + 1ŷ. What is the z-component of the resulting vector?

(6%) Problem 5: Consider the following vectors: A = 4.6i + 1.4j+ 3.4k В = -6. 5i + 7.1j + 10.2k 25% Part (a) What is the x-component of the vector V = 3(A × 2B)? Vx= sin() cos() tan() 7 8 9 НOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 cosh() tanh() cotanh() + END Degrees Radians Vd BACKSPACE DEL CLEAR Feedback Submit Hint I I give up! Hints: 2 for a 0% deduction. Hints remaining: 0 Feedback: 3% deduction per feedback. -This is a cross-product, so the answer will be a vector. In this part, we just want the x-component of the vector. Keep in mind that scalars like "2" and "3" distribute 3.