If-a-1-0-3-4-b-1-4-0-3-c-a-b-2a-b-d-b-a-a-b-k-3-c-

Question Number 154948 by mathdanisur last updated on 23/Sep/21

If \vec{a} = (- 1; 0; - 3; 4)

\vec{b} = (1; - 4; 0; - 3)

\vec{c} = \frac{∣ \vec{a} ∣}{∣ \vec{b} ∣} \cdot (2 \vec{a} + \vec{b})

\vec{d} = \frac{∣ \vec{b} ∣}{∣ \vec{a} ∣} \cdot (\vec{a} + \vec{b})

\vec{k} = - 3 \cdot (\vec{c} \cdot ∣ \vec{c} ∣ \cdot \vec{d})

Find ∣ \vec{k} ∣ = ?

Commented by JDamian last updated on 23/Sep/21

how is defined the product of two vectors?

Commented by prakash jain last updated on 23/Sep/21

\vec{c} \cdot ∣ \vec{c} ∣ \cdot \vec{d} is scaler .

if \cdot is dot product

Commented by mathdanisur last updated on 23/Sep/21

Sorry S er, ∣ \vec{k} ∣ = - 3 (\vec{c} - ∣ \vec{c} ∣ \cdot \vec{d})