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)
Given that \(p = \begin{bmatrix} x&4\\3&7\end{bmatrix} Q =\begin{bmatrix} x&3\\1&2x\...
Find the coefficient of x^3 in the binomial expansion of (3x + 4)^4 in ascending powers of x...
If \begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\(\begin{pmatrix}...
Find the variance of 1, 2, 0, -3, 5, -2, 4....
Forces F_{1} = (8N, 030°) and F_{2} = (10N, 150°) act on a particle. Find the horizo...
\alpha and \beta are the roots of the equation 2x^{2} - 3x + 4 = 0. Find \(\frac{\alpha}...
Given that \frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 4 and y = 6 when x = 3, find the equation ...
If f(x) = 3x^{3} + 8x^{2} + 6x + k and f(2) = 1, find the value of k....
If the midpoint of the line joining (1 - k, -4) and (2, k + 1) is (-k, k), find the value of k. ...