Question

plz solve its urgent ​

Answer 1

Answer:the value of c is 0.331

Explanation:

The given vector is a unit vector. Hence the magnitude should be 1.

Answer 2

Answer:

$\large k=\pm0.332$

Explanation:

Given :

$\large0.5\hat{i}+0.8\hat{j}+c\hat{k}\\\\\\\large \text{They are unit vector means 1}$

We know formula for unit vector

$\large I\vec{v}I=\sqrt{x^2+y^2+z^2}$

Now put the value here

$\large 1=\sqrt{0.5^2+0.8^2+k^2}\\\\\\\large \text{Squaring on both side we get}\\\\\\\large (1)^2=\left(\sqrt{0.5^2+0.8^2+k^2}\right)^2\\\\\\\large 1=0.5^2+0.8^2+k^2\\\\\\\large 1=0.25+0.64+k^2\\\\\\\large k^2=1-0.25-0.64\\\\\\\large k^2=1-0.89\\\\\\\large k^2=0.11\\\\\\\large k=\pm\sqrt{0.11}\\\\\\\large \text{ k=\pm\sqrt{\dfrac{11.1}{100}} }\\\\\\\large k=\pm\dfrac{3.316}{10}$

$\large k=\pm0.3316\\\\\\\large k=\pm0.332$

Thus we get  $\large k=\pm0.332$