One kind of slingshot consists of a pocket that holds a peBble at the angle 0 so that it will hit the target. The angle o in the drawing is 40.0°. The distance to the target from the center of the circle is d. (See the drawing below, which is not to scale.) The circular path is parallel to the ground, and the target lies in the plane of the circle. The distance d is four times the radius r. Ignore the effect of gravity in pulling the stone downward after it is released and find the angle

The average distance of the earth from the sun is about 1.5 x 108 km (Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.

Consider the following vectors: A   =  1.2i + 4.9j + 3.7k   B   =  -8.5i + 7.5j + 8.3k Part (a)  What is the x-component of the vector V = 3(A × 2B)?  Part (b)  What is the y-component of the vector V = 3(A × 2B)?    Part (c)  What is the z-component of the vector V = 3(A × 2B)?    Part (d)  What is the magnitude of the vector V?

We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make with the x-axis in degrees?

Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is:  A⨯B = -1.8 m i + 13.8 m k. What is the angle (in degrees) between the vectors A and B?

I do not know how to get started with my graph. Does my x axis need to be between 7.84 or 15.68 and my y axis between 0.779 or 1.558. If so how should I start my graph and how much should I go up by with both x and y axis's. Please help! I am confused.

Two position vectors each start at the origin. The first has a magnitude of 40.5 cm, and is at an angle of 15.0° as measured counterclockwise from the +x-axis. The second has a magnitude of 23.0 cm and an angle of 68.0°, also counterclockwise from the +x-axis. (a) What is the area of the parallelogram (in cm2) that has the two vectors as two of its sides? cm2 (b) What is the length of the longer diagonal of this parallelogram (in cm)? cm

Find a unit vector perpendicular to A = (î+ ĵ – Îk) and B = ( 2i + j- 3k). (Hints. One method to find the unit vector C perpendicular to A and B will be to use the fact that the cross product is perpendicular to both vectors A and B, but keep in mind that the magnitude of the unit vector is one. There is another method which is a little bit longer by using the fact that the dot product AC=0 and BC=0 where C is the unit vector )

What is the relation between A×B and BxA, The magnitudes are the same but they are in opposite directions, i.e., (Ã×B)=-(BxÃ) The order of the vectors in a cross product doesn't matter so they are the same, i.e., (ÃxB)=(BxÃ)

Suppose A = (-2.82 m)i + (4.13 m)j, B = (1.46 m)i + (-4.97 m)j + (1.68 m)k, and D = (-4.75 m)i + (-5.96 m)j. What is the angle, in degrees, between D and A?    What is the angle, in degrees, between D and B?