>
Exams
>
Mathematics
>
Vector Algebra
>
a b and c are given asa 4j 5kb 2 5j 6kc a b c a b
Question:
A, B and C are given as
A = αî + 4j + 5k
B = 2î + 5j + 6k
C=A+B
|C| = | A - B |
Find the value of α and |C|
2
is:
JEE Main
Updated On:
Apr 11, 2024
25,731
25,669
-25,731
-25,669
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The Correct answer is option is (C) : -25,731
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Vector Algebra
Let \(\overrightarrow{AB}=3\hat{i}+\hat{j}-\hat{k}\) and \(\overrightarrow{AC}=\hat{i}-\hat{j}+3\hat{k}\). If \(P\) is the point on the bisector of angle between \(\overrightarrow{AB}\) and \(\overrightarrow{AC}\) such that \(|\overrightarrow{AP}|=\dfrac{\sqrt{5}}{2}\), then the area of \(\triangle APB\) is:
JEE Main - 2026
Mathematics
Vector Algebra
View Solution
If $2(\vec a \times \vec c)+3(\vec b \times \vec c)=0$, where $\vec a=2\hat i-5\hat j+5\hat k$, $\vec b=\hat i-\hat j+3\hat k$ and $(\vec a-\vec b)\cdot\vec c=-97$, find $|\vec c \times \vec k|^2$.
JEE Main - 2026
Mathematics
Vector Algebra
View Solution
For given vectors \( \mathbf{a} = -\hat{i} + \hat{j} + 2\hat{k} \) and \( \mathbf{b} = 2\hat{i} - \hat{j} + \hat{k} \), where \( \mathbf{c} = \mathbf{a} \times \mathbf{b} \) and \( \mathbf{d} = \mathbf{c} \times \mathbf{b} \), then the value of \( (\mathbf{a} - \mathbf{b}) \cdot \mathbf{d} \) is:
JEE Main - 2026
Mathematics
Vector Algebra
View Solution
For given vectors \( \vec{a} = -\hat{i} + \hat{j} + 2\hat{k} \) and \( \vec{b} = 2\hat{i} - \hat{j} + \hat{k} \) where \( \vec{c} = \vec{a} \times \vec{b} \) and \( \vec{d} = \vec{c} \times \vec{b} \). Then the value of \( (\vec{a}-\vec{b}) \cdot \vec{d} \) is:
JEE Main - 2026
Mathematics
Vector Algebra
View Solution
If three vectors are given as shown. If the angle between vectors \( \mathbf{p} \) and \( \mathbf{q} \) is \( \theta \) where \( \cos \theta = \frac{1}{\sqrt{3}} \), \( |\mathbf{p}| = 2 \), and \( |\mathbf{q}| = 2 \), then the value of \( |\mathbf{p} \times (\mathbf{q} - 3\mathbf{r})|^2 - 3|\mathbf{r}|^2 \) is:
JEE Main - 2026
Mathematics
Vector Algebra
View Solution
View More Questions
Questions Asked in JEE Main exam
In the given situation, the force at the center on 1 kg mass is \( F_1 \). Now if \( 4m \) and \( 3m \) are interchanged, the force is \( F_2 \). Given \( \frac{F_1}{F_2} = \frac{2}{\sqrt{\alpha}} \), find \( \alpha \).
JEE Main - 2026
Gravitation
View Solution
Find correct order of acidic strength in the following reaction products \(P, Q, R \& S\):
JEE Main - 2026
Organic Chemistry
View Solution
An organic compound (A) undergoes the following reactions:
Which of the following is compound (A)?
JEE Main - 2026
Organic Chemistry
View Solution
Consider the following statements for [Ni(dmg)$_2$]:
(A) It is a red coloured compound.
(B) It is readily soluble in water at pH = 9.
(C) Central metal ion has two unpaired electrons.
(D) It has four, 5-membered metal containing rings.
JEE Main - 2026
coordination compounds
View Solution
Select correct option :
JEE Main - 2026
coordination compounds
View Solution
View More Questions