a) Let u=(2,3,-1) and w=(3,-1,p). Given that u is perpendicular to w, find the value of p. b)Let v=(1,q,5). Given that modulus v = sqrt(42), find the possible values of q.
a) u is perpendicular to w, so u • w =0. This means that 23 + 3(-1) + (-1)*p = 0, so 6-3-p=0, hence p=3. b) The magnitude of v = sqrt(12+q2+52) = sqrt(42). Thus, 1+q2+25 = 42, q2=16, so q is either 4 or -4.
CR
Related Maths IB answers
All answers ▸Given the function f(x)=λx^3 + 9, for λ other than zero, find the inflection point of the graph in terms of λ. How does the slope of the line tangent to the inflection point changes as λ varies from 0 to 1?
How to integrate ∫〖3x/√(1-x^2 ) dx〗?
The velocity, v, of a moving body at time t is given by v = 50 - 10t. A) Find its acceleration. B) The initial displacement, s, is 40 meters. Find an expression for s in terms of t.
When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b.