Calculate the Given Quantities If $\mathbf { a } = \mathbf { i } - 5 \mathbf { j }$

question 38

Short Answer

Calculate the given quantities if $\mathbf { a } = \mathbf { i } - 5 \mathbf { j }$ and $\mathbf { b } = - 5 \mathbf { j } + 2 \mathbf { k }$ .
I. $\mathbf { a } \cdot \mathbf { b }$
П. $\mathbf { a } \times \mathbf { b }$
II. The angle between $\mathbf { a }$ and $\mathbf { b }$ (correct to the nearest degree)

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Definitions:

Psychoticism

A personality pattern typified by aggressiveness and interpersonal hostility, related to the liability to have psychotic thinking or experiences.

Agreeableness

A personality trait characterized by attributes such as trust, altruism, kindness, affection, and other prosocial behaviors.

Conscientiousness

A personality trait characterized by diligence, carefulness, thoroughness, and organization.

Big Five Trait

A model that outlines five broad dimensions of human personality traits, including openness, conscientiousness, extraversion, agreeableness, and neuroticism.