Let a = j - k and c = i - j - k . Then the vector b satisfying a b + c =0 and a b =3, is
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
Let \(\vec{a}=\hat{\mathrm{j}}-\hat{\mathrm{k}} \text { and } \overrightarrow{\mathrm{c}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}-\hat{\mathrm{k}}\). Then the vector \(\overrightarrow{\mathrm{b}}\) satisfying \(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=0\) and \(\vec{a} \cdot \vec{b}=3,\) is
- \(-\hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}}\)
- \(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}\)
- \(\hat{i}-\hat{j}-2 \hat{k}\)
- \(\hat{i}+\hat{j}-2 \hat{k}\)
Answer
(A) - i + j -2 k
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If a point R(4, y, z) lies on the line segment joining the points P(2, -3, 4) and Q(8, 0, 10), then the…
- If the lines x-2 1 = y-3 1 = z-4 -k and x-1 k = y-4 2 = z-5 1 are coplanar, then k can have
- The unit vector perpendicular to vectors i + j and j + k is
- Image of the point P with position vector 7 i - j +2 k in the line whose vector equation is, r =9 i +5 j +5 k…
- If the direction ratios of a line are 1,-3,2 , then the direction cosines of the line are :
- A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7), parallel to the…
- Find the equation of the line which passes through (1,2,3) and is parallel to the line whose equation is x=a…
- The direction cosines of a line equally inclined with co-ordinate axes are :
More Three Dimensional Geometry questions · Browse all practice questions