If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​

The family of possible values for are:

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

(1)

Where:

- Angle between vectors, in sexagesimal degrees.

- Norms of vectors and

If is acute, then the cosine function is bounded between 0 a 1 and if we know that and , then the possible values for are:

Minimum ()

Maximum ()

With the help of a graphing tool we get the family of possible values for are:

we need the options

step-by-step explanation:

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