Question

ii) Determine the value of c that satisfy cu = 3, u = î+2j^+3k^
​

Answer 1

Answer:

Determine the value of c that satisfy cu = 3, u = î+2j^+3k^

Answer 2

c = 3 / sqrt(14)

Given:

cu = 3, u = î+2j^+3k^

to find:
Value of c

Solution:
To determine the value of c that satisfies cu = 3, where u = î + 2j^ + 3k^, we need to first calculate the magnitude of vector u.

The magnitude of vector u is given by:

|u| = sqrt((i^)^2 + (2j^)^2 + (3k^)^2)

= sqrt(1 + 4 + 9)

= sqrt(14)

Now, we can write the equation cu = 3 as:

c * |u| = 3

Substituting the value of |u|, we get:

c * sqrt(14) = 3

Solving for c, we get:

c = 3 / sqrt(14)

Therefore, the value of c that satisfies cu = 3, where u = î + 2j^ + 3k^, is approximately 0.764.

#SPJ3