Question: Consider the following two threedimensional vectors (mathbf{a}) and (mathbf{b}) : a. Calculate the scalar product (c=mathbf{a} cdot mathbf{b}). b. Calculate the norm of vector (mathbf{a}).

Consider the following two threedimensional vectors \(\mathbf{a}\) and \(\mathbf{b}\) :

a={2, 4, 5} and b= {2, 7, 3}.

a. Calculate the scalar product \(c=\mathbf{a} \cdot \mathbf{b}\).

b. Calculate the norm of vector \(\mathbf{a}\).

c. Calculate the vector product of \(\mathbf{a}\) and \(\mathbf{b}\).

a={2, 4, 5} and b= {2, 7, 3}.

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