Let, , , . A vector coplanar to and has a projection along of magnitude , then the…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let, a⃗=i^+2j^+k^\vec{a} = \hat{i} + 2\hat{j} + \hat{k} , b⃗=i^−j^+k^\vec{b} = \hat{i} - \hat{j} + \hat{k} , c⃗=i^+j^−k^\vec{c} = \hat{i} + \hat{j} - \hat{k} . A vector coplanar to a⃗\vec{a} and b⃗\vec{b} has a projection along c⃗\vec{c} of magnitude 13\frac{1}{\sqrt{3}} , then the vector is (1) 4i^−j^+4k^4\hat{i} - \hat{j} + 4\hat{k} (2) 4i^+j^−4k^4\hat{i} + \hat{j} - 4\hat{k} (3) 2i^+j^+k^2\hat{i} + \hat{j} + \hat{k} (4) None of these

Related theory

Browse the problem library