for what value of k will the vector (1,-2,k) in R^3 be a linear combination of the vectors (2,-1,-5)

Yash Alhat
2022-05-30

for what value of k will the vector (1,-2,k) in R^3 be a linear combination of the vectors (2,-1,-5)

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asked 2020-10-27

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects of $\frac{1}{160}$ its mass as exhaust gas and has an acceleration of $16.0\text{}\frac{m}{{s}^{2}}$.

What is the speed of the exhaust gas relative to the rocket?

asked 2021-01-31

A straight vertical wire carries a current of 1.20 A downward in a region b/t the poles of a large superconducting electromagnet,where the magnetic filed has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00 cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is a) east? b)south? c) 30 degrees south of west?

According to the solutions, the force stays the same for parts $a,b,c:F=I\cdot l\cdot B=7.06\times {10}^{-3}$ but for part c,why isn't the 30 degree angle used to calculate the force?

asked 2021-03-20

Find the tension in each cord in Figure if the weight ofthe suspended object is w.

a)

b)

asked 2020-12-21

A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 65.0 m/s at an angle of 37 degrees with the horizontal. (a) determine the time taken by the projectile to hitthe point P at ground level. (b) determine the range X of the projectile as measured from the base of the cliff at the instant just before the projectile hits point P. Find (x) the horizontal and vertical components of its velocity and (d) the magnitude of the velocity and (e) the angle made by the velocity vector with the horizontal (f) Find the maximum height above the cliff top reached by the projectile.

asked 2022-06-21

How do I check whether the sequence converges uniformly?

${f}_{n}={x}^{n}-{x}^{n+1}={x}^{n}(1-x),\phantom{\rule{1em}{0ex}}x\in [0,1]$

${f}_{n}={x}^{n}-{x}^{n+1}={x}^{n}(1-x),\phantom{\rule{1em}{0ex}}x\in [0,1]$

asked 2021-12-27

How to graph $y=-\frac{2}{3}$

asked 2022-04-23

Formula for $\mathrm{sin}\left\{\frac{\theta}{3}\right\}$

Using$\mathrm{sin}\left\{3\theta \right\}=3\mathrm{sin}\left\{\theta \right\}-4{\mathrm{sin}}^{3}\left\{\theta \right\}$ ,we may calculate $\mathrm{sin}\left\{\frac{\theta}{3}\right\}$

But the formula for root of a cubic equation is very complicated can you help me to find a formula for$\mathrm{sin}\left\{\frac{\theta}{3}\right\}$ as it will help to compute $\mathrm{sin}20}^{\circ},{\mathrm{sin}10}^{\circ$ etc. which will be useful.

Using

But the formula for root of a cubic equation is very complicated can you help me to find a formula for