Given that r = (10 N , 200º) and n = (16 N , 020&ord...
Given that r = (10 N , 200º) and n = (16 N , 020º), find (3r - 2n).
(62 N , 240º)
(62 N , 200º)
(62 N , 280º)
(62 N , 020º)
Correct answer is D
r = (10 N, 200º) and n = (16 N, 020º)
In rectangular form:
r = 10cos 200ºi + 10sin 200ºj = -9.397i - 3.420j
n = 16cos 20ºi + 16sin 20ºj = 15.035i + 5.472j
3r = -28.191i - 10.260j
2n = 30.070i + 10.945j
3r - 2n = (-28.191i - 10.260j) - (30.070i + 10.945j)
3r - 2n = -58.261i - 21.205j
|3r - 2n| = √((-58.261)2 + (-21.205)2) = 62 N
tan θ =\frac{-21.205}{-58.261} = 0.3640
θ = tan^{-1} (0.3640) = 20^o
∴ (62 N , 020º)
Two statements are represented by p and q as follows: p : He is brilliant; q : He is regular in c...
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting. Wha...
If \alpha and \beta are the roots of the equation 2x^{2} + 5x + n = 0, such that \(\alph...
Solve for x in the equation 5^{x} \times 5^{x + 1} = 25...
The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x. ...
If (x - 3) is a factor of 2x^{2} - 2x + p, find the value of constant p....
Given that M = \begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix} and N = ...
If the sum of the roots of 2x^2 + 5mx + n = 0 is 5, find the value of m...
Express \frac{3}{3 - √6} in the form x + m√y...
Find the coefficient of x^2in the binomial expansion of (x + \frac{2}{x^2})^5...