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

$$\mathrm{If}\overrightarrow{\mathrm{a}}=(-1;0;-3;4)$$$$\overrightarrow{\mathrm{b}}=(1;-4;0;-3)$$$$\overrightarrow{\mathrm{c}}=\frac{\mid \overrightarrow{\mathrm{a}}\mid }{\mid \overrightarrow{\mathrm{b}}\mid }\cdot (2\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}})$$$$\overrightarrow{\mathrm{d}}=\frac{\mid \overrightarrow{\mathrm{b}}\mid }{\mid \overrightarrow{\mathrm{a}}\mid }\cdot (\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}})$$$$\overrightarrow{\mathrm{k}}=-3\cdot (\overrightarrow{\mathrm{c}}\cdot \mid \overrightarrow{\mathrm{c}}\mid \cdot \overrightarrow{\mathrm{d}})$$$$\mathrm{Find}\mid \overrightarrow{\mathrm{k}}\mid =?$$

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

$$\overrightarrow{c}\cdot \mid \overrightarrow{c}\mid \cdot \overrightarrow{d}\mathrm{is}\mathrm{scaler}.$$$$\mathrm{if}\cdot \mathrm{is}\mathrm{dot}\mathrm{product}$$

Commented by mathdanisur last updated on 23/Sep/21

$$\mathrm{Sorry}\mathbf{S}\mathrm{er},\mid \overrightarrow{\mathrm{k}}\mid =-3(\overrightarrow{\mathrm{c}}-\mid \overrightarrow{\mathrm{c}}\mid \cdot \overrightarrow{\mathrm{d}})$$

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