Skip to main content
Back to ADDITION OF VECTORS

JEE MATHEMATICS MCQ: ADDITION OF VECTORS

1 Easy
1 of 1
Application +4 | -1
If ∣aβƒ—βˆ£=4|\vec{a}|=4 and βˆ’3≀λ≀2-3 \leq \lambda \leq 2, then the range of ∣λaβƒ—βˆ£|\lambda \vec{a}| is
View answer and explanation
Correct option: C
[0,12][0,12]
Option C ([0,12]) is correct because the range of the magnitude of the vector is determined by the range of the scalar multiplier.

More Questions from ADDITION OF VECTORS

Practice All Chapter MCQs β†’
Let a=i^βˆ’j^,b=j^βˆ’k^\mathbf{a}=\hat{\mathbf{i}}-\hat{\mathbf{j}}, \mathbf{b}=\hat{\mathbf{j}}-\hat{\mathbf{k}} and c=k^βˆ’i^\mathbf{c}=\hat{\mathbf{k}}-\hat{\mathbf{i}}. If d\mathbf{d} is aa unit vector such that aβ‹…d=0=(bc\mathbf{a} \cdot \mathbf{d}=0=(b \mathbf{c} ) , then d\mathbf{d} is equal to
 A vector aβƒ—{\mathbf{\vec a}} has components 2β€…β€Šp2\;p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense, if this respect to new system aβƒ—{\mathbf{\vec a}} has components p+1p + 1 and 1, then If aβƒ—,bβƒ—\vec{a}, \vec{b} and cβƒ—\vec{c} are three mutually perpendicular unit vetors and dβƒ—\vec{d} is a unit vector which makes equal angles with aβ†’,bβ†’\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{b}} ānd cβ†’\overrightarrow{\mathrm{c}} then the value of ∣aβ†’+bβ†’+cβ†’+dβ†’βˆ£2|\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{d}}|^2 The non-zero vectors are aβƒ—,bβƒ—\vec{a}, \vec{b} and cβƒ—\vec{c} are related by aβƒ—=8bβƒ—\vec{a}=8 \vec{b} and cβƒ—=βˆ’7bβƒ—\vec{c}=-7 \vec{b}. Then the angle between aβƒ—\vec{a} and cβƒ—\vec{c} is If the vectors 2i+jβˆ’k,βˆ’i+2j+Ξ»k2 \mathbf{i}+\mathbf{j}-\mathbf{k},-\mathbf{i}+2 \mathbf{j}+\lambda \mathbf{k} and βˆ’5i+2jβˆ’k-5 \mathbf{i}+2 \mathbf{j}-\mathbf{k} ar coplanar, then the value of Ξ»\lambda is equal The medium ADAD of the triangle ABCABC is bisected at E,β€…β€ŠBEE,\;BE meets ACAC in FF, then AF:AC=AF:AC =
Type at least 2 characters or jump directly:
🩺 NEET MCQs πŸ”¬ JEE MCQs 🎯 JEE College Predictor Study guides πŸ“Š Dashboard
πŸ”“

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.

Continue with Free Account β†’