" what value of "lambda" is the maximum "

For what value of lambda , the vectors (lambda-2)veca+vecb and (4lambda-2)veca+3vecb are collinear

For what value of lambda are the vectors lambda hat(i)+(1 + lambda) hat(j) + (1 + 2 lambda) hat( k) and (1-lambda) hat(i)+lambda hat(j) + 2 hat(k) perpendicular ?

tan^(-1)3 + tan^(-1) lambda = tan^(-1) {(3+ lamda)/(1- 3 lamda)} is valid for what values of lambda ? A) lambda in (-1/3,1/3) B) lambda gt (1/3) C) lambda lt (1/3) D) all real values of lambda

tan^(-1)3 + tan^(-1) lambda = tan^(-1) {(3+ lamda)/(1- 3 lamda)} is valid for what values of lambda ? A) lambda in (-1/3,1/3) B) lambda gt (1/3) C) lambda lt (1/3) D) all real values of lambda