What types of vectors are discussed in Class 12 Three Dimensional Geometry?
What types of vectors are discussed in Class 12 Three Dimensional Geometry?
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1 Answer
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The Class 12 Three Dimensional Geometry covers several topics, one of them is type of vectors. Students can chek the below given bullet points for type of vectors;
Zero Vector: A vector with zero magnitude and no specific direction.
Unit Vector: A vector with a magnitude of 1, representing only direction.
Position Vector: A vector representing the position of a point in space from the origin.
Direction Vector: A vector indicating the direction of a line in space.
Collinear Vectors: All the vectors whch lies in one line, are called Non-Colinear Vectors
- Non-Collinear Vectors: All the vectors whch are not in one line, are called Non-Coline
...more
Similar Questions for you
....(1)
Let
Let
Put l1 and l2 in (1)
α = 3
Given , ,
Dot product with on both sides
... (1)
Dot product with on both sides
... (2)
(a – 1) × 2 + (b – 2) × 5 + (g – 3) × 1 = 0
2a + 5b + g – 15 = 0
Also, P lie on line
a + 1 = 2λ
b – 2 = 5λ
g – 4 = λ
2 (2λ – 1) + 5 (5λ + 2) + λ + 4 – 15 = 0
4λ + 25λ + λ – 2 + 10 + 4 – 15 = 0
30λ – 3 = 0
a + b + g = (2λ – 1) + (5λ + 2) + (λ + 4)

Take
x = 2λ + 1, y = 3λ + 2, z = 4λ + 3
= (α − 2)
Now,
(α − 2) ⋅ 2 + (β − 3) ⋅3 + (γ − 4) ⋅ 4 = 0
2α − 4 + 3β − 9 + 4γ −16 = 0
⇒ 2α + 3β + 4γ = 29
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