Question 30

Mathematics Scalar and Vector Products Hard

The position vectors of the vertices A, B, C of a tetrahedron ABCD are î + ĵ + k̂, î and 3î respectively and the altitude from the vertex D to the opposite face ABC meets the face at E. If the volume of tetrahedron is&nbsp;<span class="math-tex">\(\frac {2\sqrt 2} 3\)</span>, then the length of DE is:

(A) 1
(B) 2
(C) 3
(D) 4
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is B. Practice regular variations of this Scalar and Vector Products concept to build speed and accuracy.

Practice Similar Scalar and Vector Products Questions

Reinforce your conceptual grasp with related questions from NIMCET 2019:

Q22 \( a\) and 
Solve →
Q48 The value of non-zero scalars α and β for all...
Solve →
Q49 A force of 78 grams acts at the point (2, 3, 5), the direction ratios of...
Solve →
Q1 For two circles x2 + y2 = 16 and x2...
Solve →
Q2 Let f: R → R be defined by \(f( x )...
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →