Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( ... VIDEO
Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( \hat{i}-2 \hat{j}+\hat{k}, 3 \hat{i}+2 \hat{j}-\hat{k} \) and \( c \) are coplanar, then is equal to
(a) 1
(b) 2
(c) 3
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-09 Unit vector perpendicular to the plane of the triangle \( A B C \) with position vectors of the ... 2023-06-09 The angle between the two straight lines \( \vec{r}_{1}=3 \hat{i}-2 \hat{j}+4 \hat{k} \) \( +\la... 2023-06-09 The points with position vectors \( 60 \hat{i}+3 \hat{j}, 40 \hat{i}-8 \hat{j} \) and \( a \hat{... 2023-06-09 If \( \vec{a}=\vec{b}+\vec{c}, \vec{b} \times \vec{d}=\overrightarrow{0} \) and \( \vec{c} \cdot... 2023-06-09 Let \( \vec{a}, \vec{b}, \vec{c} \) such that \( |\vec{a}|=1,|\vec{b}|=1 \) and \( |\vec{c}|=2 \... 2023-06-09 Given \( \vec{a}=x \hat{i}+y \hat{j}+2 \hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}, \vec{c}=\hat{i}... 2023-06-09 If \( a=\hat{i}+\hat{j}+\hat{k}, b=4 \hat{i}+3 \hat{j}+4 \hat{k} \) and \( c=\hat{i}+\alpha \hat... 2023-06-09 If the vectors \( 4 \hat{i}+11 \hat{j}+m \hat{k}, 7 \hat{i}+2 \hat{j}+6 \hat{k} \) and \( \hat{i... 2023-06-09 If \( \vec{a} \times[\vec{a} \times(\vec{a} \times \vec{b})]=\lambda(\vec{a} \times \vec{b})\lef... 2023-06-09 If \( \vec{a}=2 \hat{i}+\lambda \hat{j}+3 \hat{k} ; \vec{b}=3 \hat{i}+3 \hat{j}+5 \hat{k} ; \vec... 2023-06-09 Let \( a=\hat{i}+\hat{j}, b=\hat{j}+\hat{k} \) and \( c=\alpha a+\beta b \). If the vectors, \( ... 2023-06-09 If \( \vec{a} \) and \( \vec{b} \) are two unit vectors such \( \vec{a}+2 \vec{b} \) and \( 5 \v... 2023-06-09 If \( x \cdot a=x \cdot b=x \cdot c=0 \), where \( x \) is a non-zero vector. Then, \( [a \times... 2023-06-09 If \( \vec{r} \cdot \hat{i}=\vec{r} \cdot \hat{j}=\vec{r} \cdot \hat{k} \) and \( |\vec{r}|=3, \... 2023-06-09 If \( |\vec{a}|=3,|\vec{b}|=1,|\vec{c}|=4 \) and \( \vec{a}+\vec{b}+\vec{c}=0 \) then \( \vec{a}... 2023-06-09 The vectors \( \overrightarrow{A B}=3 \hat{i}-2 \hat{j}+2 \hat{k} \) and \( \overrightarrow{B C}... 2023-06-09 If the vectors \( a=\hat{i}-\hat{j}+2 \hat{k}, b=2 \hat{i}+4 \hat{j}+\hat{k} \) and \( c=\lambda... 2023-06-09 If \( a=4 \hat{i}+6 \hat{j} \) and \( b=3 \hat{j}+4 \hat{k} \), then the component of \( a \) al... 2023-06-09 If \( u \) and \( v \) are unit vectors and \( \theta \) is the acute angle between them, then \... 2023-06-09 If \( A B C D E F \) is regular hexgon, then \( \mathrm{AD}+\mathrm{EB}+\mathrm{FC} \) is equal ... 2023-06-09 If \( |a+b||a-b| \), then the angle between \( a \) and \( b \) is
(a) acute
(b) obtuse
(c) \( \...