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Consider the vector space R3. Find four vectors a, a',b,b' such that A=Sp{a,a'} B=Sp{b,b'} and A+B=R3 and AnB(A intesects B)=Sp{(1,1,1)} does anyone know how to make two planes into a space i.e. R3...

The 4-digit number 2652 is such that anyu two consecutive digits from it make a multiple of 13. Another number N has the same property but with 100 digits, and begins with 9. what is the last digit of N? choices: (a)2 (b)3 (c)6 (d) 9 N= 913913913.... SO the answer is d? thanx in advance:)

If you factorise x⁴-20x²+16=(x²+4x-4)(x²-4x-4) OR=(x²+2sqrt7 x+4)(x²-2sqrt7 x+4) by using the result of x⁴+Ax²+B=(x²+ax+b)(x²-ax+b) but the 4 roots to...

In the solution provided by Success One Book Q4-A Why isn't the hammer experiencing centripedal acceleration towards the center of the Earth when its dropped from geosychronous orbit as in (B)? Q15-D Doesn't radio wave always travel at C regardless of medium? if so, if the frequency is the...

could any1 explain the trends in the graph plz (in particular the peak) thanx

Part 1 of syllabus says that " outline teh steps in the production of polyethylene as an example of acommercially andindsutrially important polymer" Is there any difference between commericial and industrial methods to produce polyethylene? :rolleyes: thanx a lot

describe factors that affect an electrolysis reaction -effect of concentration -nature of electrolyte -nature of electrodes This looks quite similar to the prac"plan and perform a first-hand investigation and gather first-hand data to identify the factors that affect the rate of an...

-In calculation questions, how many significant figures should we use for our final answer? -In any expt, what are the potiential sources of error? Thanx in advance

My teacher said we cannot simply say that the null result of Michelson-Morley's experiment disproved the existence of aether model as it just FAILED to find any evidence of aether's existence. However, Einstein's first postulate says that "the laws of physics are the same in all frames of...

· Identify the use of electrolysis as a means of cleaning and stabilising iron, copper and lead artefacts Isn't the electrolysis process used to restore the artefacts rather than cleaning and stabilising?

hi does any1 know how to calculate gravitational field strength? :cool:

outline some examples of the occurance, production and uses of ester could anyone tell me what are some natural esters? :cool:

could any1 tell me meaning of the term "conventions of narratives" in Module A telling stories? Thanx in advance:D

when an object is fired from a ground, both of its angle of projection and initial velocity are given. If the question asks you to find its final velocity, can u just simply state that the nature of this motion (when resistance is neg.) is actually a mirror reflection, so the final v =intial u...

A person stood on scales thqat were designed for the Earth whilst on Mars. The scale gave a reading of 50kg. Would the actual mass of the person be 50kg since the mass is independent of the location of the body right? the part which confused me is that the basic principle involves in the...

Luigi Galvani first generated an electric current by using two different metal wires place separately on a freshly extracted frog muscle. List two chemical conditions, which enabled the generation of the electric current. The only condition that I know is “two different metals formed a...

If (2-sqrt3) is a root for a polynomial with real coefficients, is 2+sqrt3 also a root I thought this rule only applied to complex root and its conjugate right? but the solution says it it the way i stated above, which means (2+sqrt3) is a conj. of (2-sqrt3)?! Could anyone help?

prove that if Let U_n=<MATH>&int; xcosⁿx dx</MATH> from o to pi/2 then U_n=(n-1)/n U_n-2-1/n²

how to use sodium carbonate solution/bromine water and/or acidified potassium dichromate solution to distinguish b/w 1-butanol and cyclohexane? Edit: could we just use acidified potassium dichromate solution oxidise butanol into butanopic acid and then use sodium carbonate to tell the acid...

Q1. Identify two common indicators of water quality that would be the most useful in monitoring waste water from a fruit cannery. Justify your choices. [could anyone tell me what the main contaminations are present in the waste water from fruit cannery?] btw, could any1 summarise the main...