Question:medium
Let \(|\vec{a}| = 6\) and \(|\vec{b}| = 10\). If \(\vec{a}\) and \(\vec{b}\) make angles \(25^\circ\) and \(85^\circ\), respectively, with the x-axis, then the value of \(|\vec{a} + \vec{b}|\) is equal to
Let \(|\vec{a}| = 6\) and \(|\vec{b}| = 10\). If \(\vec{a}\) and \(\vec{b}\) make angles \(25^\circ\) and \(85^\circ\), respectively, with the x-axis, then the value of \(|\vec{a} + \vec{b}|\) is equal to
Show Hint
Always visualize vectors as lines from the origin. The "angle with the x-axis" is just a polar coordinate. The "angle between them" is what matters for the addition formula.
Updated On: Jun 24, 2026
- 14
- 12
- 13
- 11
- 15
Show Solution
The Correct Option is A
Solution and Explanation
Was this answer helpful?
0
Top Questions on Vector basics
- If \( \vec{a} = \hat{i} + 2\hat{j} + \hat{k} \) and \( \vec{b} = 2\hat{i} - \hat{j} + 2\hat{k} \), then find the angle \( \theta \) between \( \vec{a} \) and \( \vec{b} \).
- BITSAT - 2025
- Mathematics
- Vector basics
- If the midpoints of sides BC, CA, AB of triangle ABC are respectively D, E, F, then position vector of centre of triangle DEF, when position vectors of A, B, C are respectively i+ j, j+ k, k+ i, is
- BITSAT - 2010
- Mathematics
- Vector basics
- Let a, b, c be three vectors satisfying a × b = ( a × c), | a|=| c|=1, | b|=4 and | b × c|=√(15). If a · b = ?, then λ equals
- BITSAT - 2019
- Mathematics
- Vector basics
- Let \(\mathbf{a} = \mathbf{i} - \mathbf{k}, \quad \mathbf{b} = x\mathbf{i} + \mathbf{j} + (1-x)\mathbf{k}, \quad \mathbf{c} = y\mathbf{i} + x\mathbf{j} + (1+x-y)\mathbf{k}\). Then \([\mathbf{a}, \mathbf{b}, \mathbf{c}]\) depends on:
- BITSAT - 2018
- Mathematics
- Vector basics
- Want to practice more? Try solving extra ecology questions todayView All Questions
