>
Exams
>
Mathematics
>
Vectors
>
let a and b be two unit vectors and is the angle b
Question:
Let
\(\overrightarrow a\)
and
\(\overrightarrow b\)
be two unit vectors and θ is the angle between them. Then
\(\overrightarrow a +\overrightarrow b\)
is a unit vector if
KCET
Updated On:
Apr 26, 2024
\(θ=\frac{π}{4}\)
\(θ=\frac{π}{3}\)
\(θ=\frac{2π}{3}\)
\(θ=\frac{π}{2}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct answer is Option (C) :
\(θ=\frac{2π}{3}\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Vectors
Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:
CBSE CLASS XII - 2025
Mathematics
Vectors
View Solution
If the sum of two vectors is a unit vector, then the magnitude of their difference is:
TS EAMCET - 2025
Physics
Vectors
View Solution
Match the LIST-I with LIST-II
LIST-I (Expressions)
LIST-II (Values)
A.
\( i^{49} \)
I.
1
B.
\( i^{38} \)
II.
\(-i\)
C.
\( i^{103} \)
III.
\(i\)
D.
\( i^{92} \)
IV.
\(-1\)
Choose the correct answer from the options given below:
CUET (PG) - 2025
Physics
Vectors
View Solution
If \(\vec{A} = \vec{\nabla} \times \vec{F}\), then \(\oiint_S \vec{A} \cdot \hat{n} dS\) (for any closed surface S) is:
CUET (PG) - 2025
Physics
Vectors
View Solution
If \(|\vec{A}+\vec{B}| = |\vec{A}-\vec{B}|\) then the angle between vectors \(\vec{A}\) and \(\vec{B}\) is:
CUET (PG) - 2025
Physics
Vectors
View Solution
View More Questions
Questions Asked in KCET exam
The number of four digit even numbers that can be formed using the digits 0, 1, 2 and 3 without repetition is:
KCET - 2025
permutations and combinations
View Solution
If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
KCET - 2025
Binomial theorem
View Solution
Which of the following methods of expressing concentration are unitless?
KCET - 2025
Expressing Concentration of Solutions
View Solution
If \( A = \{ x : x \text{ is an integer and } x^2 - 9 \geq 0 \} \),
\[ B = \{ x : x \text{ is a natural number and } 2 \leq x \leq 5 \}, \quad C = \{ x : x \text{ is a prime number} \leq 4 \} \]
Then \( (B - C) \cup A \) is:
KCET - 2025
Set Theory
View Solution
A particle is in uniform circular motion. The equation of its trajectory is given by \( x = 2t^2 - 3t + 5 \), where \( x \) and \( y \) are in meters. The speed of the particle is 2 m/s. When the particle attains the lowest \( y \)-coordinate, the acceleration of the particle is (in \( \text{m/s}^2 \)):
KCET - 2025
Friction
View Solution
View More Questions