Let \( \hat{x}, \hat{y} \) and \( \hat{z} \) and be unit vectors such that \( \hat{x}+\hat{y}+\h... VIDEO
Let \( \hat{x}, \hat{y} \) and \( \hat{z} \) and be unit vectors such that \( \hat{x}+\hat{y}+\hat{z}=a \), \( \hat{x} \times(\hat{y} \times \hat{z})=b,(\hat{x} \times \hat{y}) \times \hat{z}=c, a \cdot \hat{x}=\frac{3}{2}, a \cdot \hat{y}=\frac{7}{4} \) and \( |a|=2 \). Find \( x, y \) and \( z \) in terms of \( a, b \) and \( c \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-09 Let \( \vec{p}=2 \hat{i}+3 \hat{j}+\hat{k} \) and \( \vec{q}=\hat{i}+2 \hat{j}+\hat{k} \) be two... 2023-06-09 Let a vector \( \vec{a} \) be coplanar with vectors \( \vec{b}=2 \hat{i}+\hat{j}+\hat{k} \) and ... 2023-06-09 If the projection of the vector \( \hat{i}+2 \hat{j}+\hat{k} \) on the sum of the two vectors \(... 2023-06-09 Let \( \vec{a}=2 \hat{i}-\hat{j}+5 \hat{k} \) and \( \vec{b}=\alpha \hat{i}+\beta \hat{j}+2 \hat... 2023-06-09 Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |2 \vec{a}+3 \vec{b}|=|3 \vec{a}... 2023-06-09 Let \( \vec{a}, \vec{b}, \vec{c} \) be three mutually perpendicular vectors of the same magnitud... 2023-06-09 Let \( \vec{a}=\alpha \hat{i}+\hat{j}-\hat{k} \) and \( \vec{b}=2 \hat{i}+\hat{j}-\alpha \hat{k}... 2023-06-09 Let \( \vec{a}=\hat{i}-2 \hat{j}+3 \hat{k}, \vec{b}=\hat{i}+\hat{j}+\hat{k} \) and \( \vec{c} \)... 2023-06-09 Let the vectors \( \vec{a}=(1+t) \hat{i}+(1-t) \hat{j}+\hat{k} \), \( \vec{b}=(1+t) \hat{i}+(1-+... 2023-06-09 Let a vector \( \vec{a} \) has a magnitude 9. Let a vector \( \vec{b} \) be such that for every ... 2023-06-09 Let \( \hat{x}, \hat{y} \) and \( \hat{z} \) and be unit vectors such that \( \hat{x}+\hat{y}+\h... 2023-06-09 Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |\vec{a}+\vec{b}|^{2}=|\vec{a}|^... 2023-06-09 Find
(i) A vector of magnitude \( \sqrt{6} \) perpendicular to the plane \( A B C \)
(ii) Area o... 2023-06-09 In a quadrilateral \( A B C D \) it is given that \( A B \| C D \) and the diagonals \( A C \) a... 2023-06-09 Show that the p.v. of circumcentre of a tetrahedron \( O A B C \) is (where \( O \) is the ori... 2023-06-09 Let \( \vec{a}=3 \hat{i}+\hat{j} \) and \( \vec{b}=\hat{i}+2 \hat{j}+\hat{k} \). Let \( \vec{c} ... 2023-06-09 If the vectors \( \vec{b}, \vec{c}, \vec{d} \) are not coplanar, then prove that the vector \( (... 2023-06-09 Let \( \left(\begin{array}{lll}\left(a_{1}-a\right)^{2} & \left(a_{1}-b\right)^{2} & \left(a_{1}... 2023-06-09 Consider the non-zero vectors \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \) such that no thr... 2023-06-09 Let \( \vec{a}=\sqrt{3} \hat{i}-\hat{j} \) and \( \vec{b}=\frac{1}{2} \hat{i}+\frac{\sqrt{3}}{2}... 2023-06-09 Given four non-zero vectors \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \). The vectors \( \v...