Projection of Vector on a line or direction MCQ Quiz in தமிழ் - Objective Question with Answer for Projection of Vector on a line or direction - இலவச PDF ஐப் பதிவிறக்கவும்
Last updated on Mar 24, 2025
Latest Projection of Vector on a line or direction MCQ Objective Questions
Top Projection of Vector on a line or direction MCQ Objective Questions
Projection of Vector on a line or direction Question 1:
Let A(0, 3, -3), B(1, 1, 1) and C(2, 0, 3) be three points in space. Then the projection of
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 1 Detailed Solution
Concept Used:
Projection of vector
Calculation
Given:
Projection of AB on AC =
Hence option 2 is correct
Projection of Vector on a line or direction Question 2:
The vector projection of
A ≡ (2, −3, 0), B ≡ (1, -4, -2), C ≡ (4, 6, 8) and D = (7, 0, 10), is
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 2 Detailed Solution
Answer : 3
Solution :
Vector projection of
=
=
=
Projection of Vector on a line or direction Question 3:
If
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 3 Detailed Solution
Concept:
Let
Calculation:
Given:
|
The component of vector a along b is
Mistake PointsWe are asked to find the vector component of 'a' along 'b'. If the scalar component was asked, then there would have been only 5 in the denominator.
Projection of Vector on a line or direction Question 4:
Projection vector of
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 4 Detailed Solution
Explanation:
The projection vector of
The correct answer is option 2.
Projection of Vector on a line or direction Question 5:
The projection of vector
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 5 Detailed Solution
Concept:
The projection of vector
Calculation:
Given
= 2 × 1 + (-1) × 2 + 1 × 2
= 2 - 2 + 2
= 2
|
=
=
= 3
The projection of vector
=
The projection of vector
The correct answer is option 1.
Projection of Vector on a line or direction Question 6:
The magnitude of the projection of the vector 2î + 3ĵ + k̂ on the vector perpendicular to the plane containing the vectors î + ĵ + k̂ and î + 2ĵ + 3k̂, is
Answer (Detailed Solution Below)
Projection of Vector on a line or direction Question 6 Detailed Solution
Concept -
Use of normal vector and projection vector
projection of
Solution -
Normal vector to the plane to plane containing
Projection of
=
Hence the final answer is option 2.