CUET Mathematics - If a = 2i - j + 3k and b = 2i + 2j + k, then Match List-I with List-II | List-I | List-II | |---|---| | (A) Projection of a on b is | (I) -7i + 4j + 6k | | (B) a imes b is | (II) 1sqrt(101)(-7i + 4j + 6k) | | (C) unit vector along a + b is | (III) 5/3 | | (D) Unit vector perpendicular to both a & b is | (IV) 1sqrt(33)(4i + j + 4k) | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

core

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

✅ Correct Option: 3

Related questions:

22 May Shift 1

Which of the following statements is/are true?

(A) The vector sum of the three sides of a triangle in order is $\vec{0}$

(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 $\vec{a} imes \vec{b} = |\vec{a}||\vec{b}|\sin heta$

(D) The cross product of two vectors is commutative

Choose the correct answer from the options given below:

13 May Shift 2

The length of line segment joining the points with position vectors $2\hat{i} - 2\hat{j} + 3\hat{k}$ and $5\hat{i} + 2\hat{j} + 3\hat{k}$ is

19 May Shift 1

If $\vec{a} = \hat{i} + \hat{k}$ , $\vec{b} = \hat{j} - \hat{k}$ and $\vec{c} = \hat{i} + \hat{j} + \hat{k}$ such that $\vec{r} \times \vec{b} = \vec{c} \times \vec{b}$ and $\vec{r} \cdot \vec{a} = 0$ , then $\vec{r}$ is:

CUET Mathematics 2025 15 May Shift 1 PYQs

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