True or false? in exercises 43 and 44, determine whether each statement is true or false. if a statement is true, give a reason or cite an appropriate statement from the text. if a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 43. (a) if w is a subspace of a vector space v, then it has closure under scalar multiplication as defined in v. (b) if v and w are both subspaces of a vector space u, then the intersection of v and w is also a subspace. (c) if u, v, and w are vector spaces such that w is a subspace of v and u is a subspace of v, then w = u

We will use a video to study faraday’s law of electromagnetic induction by analyzing the induction that occurs due a coil of copper wire sliding along an air track that passes through an external magnetic field. specifically, we will: examine some of the main principles behind faraday’s law. apply lenz’s law to determine the direction of the induced emf. take measurements of the induced emf from the voltmeter as the coil passes into and out of the external magnetic field. use the horizontal scale provided to determine the speed of the coil. calculate the magnetic field induced in the coil as it passes into and out of the external magnetic field.