If Vectors and Have Magnitudes 12 and 15

question 69

Multiple Choice

If vectors and have magnitudes 12 and 15, respectively, and the angle between the two when they are drawn starting from the same point is 110°, what is the scalar product of these two vectors?

• A) −76
• B) −62
• C) −90
• D) −47
• E) −170

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Definitions:

Involuntary Commitment

A legal process through which individuals with severe mental illnesses are hospitalized for treatment without their consent when deemed a danger to themselves or others.

Temporary Commitment

The involuntary admission of an individual to a psychiatric facility for a short period under emergency conditions, typically without a formal court order.

Two-physician Certificates

Documents or attestations, typically related to medical or mental health conditions, verified by two independent physicians.

M'Naghten Rule

A legal principle establishing the insanity defense based on the inability to know right from wrong at the time of committing a crime.