If `bar(P_(1)P_(2))` is perpendicular to `bar(P_(2)P_(3))` , then the value of k is where `P_(1)(k,1,-1),P_(2)(2k,0,2)&P_(3)(2+2k,k,1)`

If overline(P_1P_2) is perpendicular to overline(P_2P_3) , then the value of k is, where P_1(k, 1, -1), P_2(2k, 0, 2) and P_3(2+2k, k, 1) is …..

Find the value of k if x+1 is a factor of p(x):p(x)=kx^(2)+3x+k

If k, 2k-1 and 2k+1 are in A.P. then value of k is ……………

If P(A nn B)=(1)/(2),P(bar(A)nnbar(B))=(1)/(3),P(A)=p,P(B)=2p then find the value of p.

If the point P(k-1,2) is equidistant from the point A(3,k) and B(k,5). Find the value of k?

If the point P(k-1,2) is equidistant from the points A(3,k) and B(k,5), find the values of k

If bar(P)=i+j+2k and bar(Q)=3i-2j+k ,the unit vector perpendicular to both bar(P) and bar(Q) is

Let vec a be vector parallel to line of intersection of planes P_(1) and P_(2) through origin.If P_(1) is parallel to the vectors 2bar(j)+3bar(k) and 4bar(j)-3bar(k) and P_(2) is parallel to bar(j)-bar(k) and 3bar(I)+3bar(j), then the angle between vec a and 2bar(i)+bar(j)-2bar(k) is :