CUET · MATHS · PYQ PAPER 2025
Which of the following statements is/are true?
(A) The vector sum of the three sides of a triangle in order is \(\vec{c}\)
b (B) The magnitude (r), direction ratios (a, b, c) and direction cosines (l, m, n) of any vector \(\vec{r}=a \hat{i}+b \hat{j}+c \hat{k}\) are related as \(l=\frac{a}{r}, m=\frac{b}{r}, n=\frac{c}{r}\)
(C) If θ is the angle between two vectors \(\vec{a}\) and \(\vec{b}\), then their cross product is given as \(\vec{a} \times \vec{b}=|\vec{a}||\vec{b}| \sin \theta\)
(D) The cross product of two vectors is commutative
Choose the correct answert from the option given below :
- A (A), (B) and (C) only
- B (B), (C) and (D) only
- C (A) and (B) only
- D (C) and (D) only
Answer & Solution
Correct Answer
(A) (A), (B) and (C) only
Step-by-step Solution
Detailed explanation
No Solution
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The function \(f:[-1,1] \rightarrow R\) is given by \(f(x)=\frac{x}{x+2}\)CUET 2025 Hard
- If \(f: R \rightarrow R\) is defined by \(f(x)=x^2-3 x+2\) then \(f(f(x))\) is :CUET 2023 Easy
- For the function \(f(x)=e^{-2 x}(2-x)^2\), the point of local maxima is:CUET 2025 Easy
- Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B isCUET 2023 Hard
- A person has taken a loan of Rs. 40, 000 for 3 months from a lender who has deducted Rs. 2, 000 as interest at the time of lending.
Then the effective rate of interest charged per annum by the lender is :
[Given \((1.0526)^4=1.2275\) ]CUET 2025 Hard - Let \(\tan ^{-1} y=\tan ^{-1} x+\tan ^{-1}\left(\frac{2 x}{1-x^2}\right)\). Then \(y\) is :CUET 2023 Easy
More PYQs from CUET
- If \(\left[\begin{array}{ccc}x+1 & 3 & 9 \\ -2 & 5 & 3 \\ 0 & 0 & z-3\end{array}\right]=\left[\begin{array}{ccc}0 & 3 & 9 \\ -2 & y-5 & 3 \\ 0 & 0 & 10\end{array}\right]\) then the values of \(x, y\) and \(z\) are:CUET 2023 Medium
- A simple random sample consists of four observations 1, 3, 5, 7. The point estimate of population standard deviation is :CUET 2023 Easy
- if a function \(f: Q \rightarrow R\) defined by \(f(x)=\frac{2 x-1}{2}\) and \(g: Q \rightarrow R\) is defined by \(g(x)=x+2\), then \((g \circ f)\left(\frac{3}{2}\right)\) is :CUET 2023 Easy
- The electric field of a plane electromagnetic wave in a medium is given by
\( E = 100 \sin(300z - 6 \times 10^{10}t) \text{ V/m} \).
The velocity of the electromagnetic wave in this medium will be:CUET 2025 Easy - The values of \(b\) for which \(y=2 x^2-b x+2\) touches the \(x\)-axis are:CUET 2023 Medium
- In a meter bridge experiment null point is obtained at 20 cm from one end when resistance X is balanced against resistance Y, where \( X < Y \). Then, the new position of the null point from the same end if X is replaced by 4X will be:CUET 2023 Medium