The lines vecr= hati+ hatj- hatk+λ(3 hati- hatj) and vecr=4 hati- hatk+μ(2 hati+3 hatk) intersect at the point

Question

The lines vecr= hati+ hatj- hatk+λ(3 hati- hatj) and vecr=4 hati- hatk+μ(2 hati+3 hatk) intersect at the point (A) (0, 0, 0) (B) (0, 0,1) (C) (0, -4, -1) (D) (4, 0, -1)

Tardigrade Admin · Accepted Answer

Correct answer is (d) (4, 0, -1)

Q. The lines $r = \hat{i} + \hat{j} - \hat{k} + λ (3 \hat{i} - \hat{j})$ and $r = 4 \hat{i} - \hat{k} + μ (2 \hat{i} + 3 \hat{k})$ intersect at the point

$(0, 0, 0)$

$(0, 0, 1)$

$(0, - 4, - 1)$

$(4, 0, - 1)$

$(4, 1, - 1)$

Correct answer is (d) $(4, 0, - 1)$

Q. The lines r=i^+j^​−k^+λ(3i^−j^​) and r=4i^−k^+μ(2i^+3k^) intersect at the point

(0,0,0)

(0,0,1)

(0,−4,−1)

(4,0,−1)

(4,1,−1)

Correct answer is (d) (4,0,−1)