The vector A has a magnitude of 3.00 meters. It makes an angle of 30° with respect to the positive x-axis. The vector B has a magnitude of 3.00 meters, but points along the y-axis.

What are the horizontal and vertical components of ?
a) Ax = 2.60, Ay = 1.50
b) Ax = 1.50, Ay = 2.60
c) Ax = 3.00, Ay = 3.00
d) Ax = -2.60, Ay = -1.50

What are the horizontal and vertical components of the?
a) Bx = 0.00, By = 3.00
b) Bx = 3.00, By = 0.00
c) Bx = 3.00, By = 3.00
d) Bx = -2.60, By = -1.50

What is + in unit vector notation?
a) 2.6i + 4.5j
b) 2.6i - 4.5j
c) 6(i + j)
d) 3i + 3j

Solution Preview

The vector A has a magnitude of 3.00 meters. It makes an angle of 30° with respect to the positive x-axis. The vector B has a magnitude of 3.00 meters, but points along the y-axis.

What are the horizontal ...

Solution Summary

This solution contains step-by-step calculations using trigonometry to determine the horizontal and vertical components of the vector.

Unit Vectors in Trigonometry. ... 2.) Find the dot product of vector v and vector w if: a. v ... 3.) Find the unit vector that has the same direction as the vector below ...

... i) Dot product of any two similar unit vectors that is i . i, j . j or k . k is 1 as the magnitude of each vector is 1 and the angle between them is zero and ...

... will return a unit vector for a given vector f. a method scale for computing the product of a scalar and a vector g. a method add for adding two vectors h. a ...

... and unit of weight is pound-force ... least two examples of different variables that are vector and scalar ...Vectors have magnitude as well as direction while scalar ...

... It represents the rate of energy transport per unit area and ... circular path at any point on it and vector E is ... Hence, vectors B and E are mutually perpendicular ...

... 32.8) yunit vector. Assume [grams] as the unit. What is the direction of B in radians counter clockwise from the positive x axis? 5. Knowing Vectors A and B as ...

... Express the velocity vector in terms of R,w ,t , and unit vectors x and/or y. ... Express the velocity vector in terms of R,w ,t , and unit vectors x and/or y. ...

...unit tangent and normal vectors at the indicated point. The point corresponds to. Solution: The implicit function is given as: The unit tangent vector is given ...

... of the parachutist be in terms of these unit vectors? ... A unit vector in the direction of the instantaneous velocity ... 1.31) Note that indeed has the units of force ...