Question

A unit vector is represented by aI+bj+ck.If the values of a and b are 0.6 and o.8 respectively .Find the value of c

Answer 1

Given:

A unit vector is represented by ai+bj+ck.

a= 0.6     b = 0.8

To Find:

Value of c

Solution:

Let the unit vector be A

A = ai + bj + ck

i = unit vector in x axis.

j = unit vector in y axis.

k = unit vector in z axis.

Magnitude of a vector |A|

$|A| = \sqrt{a^{2} + b^{2} + c^{2} }$

Magnitude of unit vector = 1 units.

a = 0.6

b = 0.8

Substitute the values of a , b and |A| ;

$1 = \sqrt{0.6^{2} +0.8^{2} +c^{2} }$

Taking square both the sides

$1 = 0.36 + 0.64 + c^{2}\\ 0 = c$

Value of c for given vector a is equal to 0.

Answer 2

Answer:

check answer in given attachment