Displacement Vector $\vec { A }$ Is 55 Cm Long and Points Along the +X-Axis

question 120

Essay

Displacement vector $\vec { A }$ is 5.5 cm long and points along the +x-axis. Displacement vector $\overrightarrow { \mathbf { B } }$ is 7.5 cm long and points at +30° to the -x-axis.
(a) Determine the x and y components of vector $\vec { A }$ .
(b) Determine the x and y components of vector $\overrightarrow { \mathbf { B } }$ .
(c) Determine the x and y components of the resultant of these two vectors.
(d) Determine the magnitude and direction of the resultant of these two vectors.

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Definitions:

Statistical Significance

A measure that indicates whether the results of a study are likely not due to chance.

Scatterplot

A type of graph used in statistics to display values for typically two variables for a set of data, where each dot represents one observation.

Negative Correlation

A correlation between two variables where the growth of one inversely affects the decline of the other.

Statistical Significance

A measure indicating that the likelihood of the observed results occurring by chance is very low, typically used in hypothesis testing to validate study findings.