It is found that \(|\vec{A}+\vec{B}|=|\vec{A}|\). This necessarily implies:

1. \(\vec{B}=0\)
2. \(\vec{A},\) \(\vec{B}\) are antiparallel
3. \(\vec{A}\) and \(\vec{B}\) are perpendicular
4. \(\vec{A}.\vec{B}\leq0\)

Subtopic:  Resultant of Vectors |
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Given below in Column-I are the relations between vectors \(a,\) \(b,\) and \(c\) and in Column-II are the orientations of \(a,\) \(b,\) and \(c\) in the XY-plane. Match the relation in Column-I to the correct orientations in Column-II.
 

Column-I Column-II
a \(a + b = c\) (i)
b \(a- c = b\) (ii)
c \(b - a = c\) (iii)
d \(a + b + c = 0\) (iv)

1. a(ii), b (iv), c(iii), d(i)
2. a(i), b (iii), c(iv), d(ii)
3. a(iv), b (iii), c(i), d(ii)
4. a(iii), b (iv), c(i), d(ii)

Subtopic:  Resultant of Vectors |
 72%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

For two vectors \(\vec A\) and \(\vec B\), |\(\vec A\)+\(\vec B\)|=|\(\vec A\) - \(\vec B\)| is always true when:

(a) |\(\vec A\)| = |\(\vec B\)|  ≠ \(0\)
(b) \(\vec A\perp\vec B\)
(c) |\(\vec A\)| = |\(\vec B\)|  ≠ \(0\) and \(\vec A\) and \(\vec B\) are parallel or antiparallel.
(d) when either |\(\vec A\)| or |\(\vec B\)| is zero.

Choose the correct option:
1. (a), (d)
2. (b), (c)
3. (b), (d)
4. (a), (b)
Subtopic:  Resultant of Vectors |
 55%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh