Feedback
×Thank you for using Shiksha Ask & Answer
We hope you got a satisfactory answer to your question.
How likely is it that you would recommend Shiksha Ask & Answer to a friend or colleague?
Not at all likely
Extreme likely
Please suggest areas of improvement for us
Let three vectors
be such that
is coplanar with
is perpendicular to
then the value of 2
is____________.
Let three vectors be such that is coplanar with is perpendicular to then the value of 2 is____________.
-
1 Answer
-
From
Solving
<p><!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1819009496"> </o:OLEObject></xml><![endif]--> <span contenteditable="false"> <math> <mrow> <mover accent="true"> <mi>c</mi> <mo>→</mo> </mover> <mo>=</mo> <mi>α</mi> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> <mo>+</mo> <mi>β</mi> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mrow> <mo>(</mo> <mrow> <mi>i</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span></p><p> <span contenteditable="false"> <math> <mrow> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>c</mi> <mo>→</mo> </mover> <mo>=</mo> <mn>7</mn> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>c</mi> <mo>→</mo> </mover> <mo>=</mo> <mn>0</mn> </mrow> </math> </span> <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1819009497"> </o:OLEObject></xml><![endif]--></p><p><span contenteditable="false"> <math> <mrow> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> <mo>=</mo> <mo>−</mo> <mover accent="true"> <mi>i</mi> <mo>^</mo> </mover> <mo>+</mo> <mover accent="true"> <mi>j</mi> <mo>^</mo> </mover> <mo>+</mo> <mover accent="true"> <mi>k</mi> <mo>^</mo> </mover> <mo>⇒</mo> <mrow> <mo>|</mo> <mrow> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> </mrow> <mo>|</mo> </mrow> <mo>=</mo> <mroot> <mrow> <mn>3</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span> <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1819009498"> </o:OLEObject></xml><![endif]--></p><p><span contenteditable="false"> <math> <mrow> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> <mo>=</mo> <mn>2</mn> <mover accent="true"> <mi>i</mi> <mo>^</mo> </mover> <mo>+</mo> <mover accent="true"> <mi>k</mi> <mo>^</mo> </mover> <mo>⇒</mo> <mrow> <mo>|</mo> <mrow> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> </mrow> <mo>|</mo> </mrow> <mo>=</mo> <mroot> <mrow> <mn>5</mn> </mrow> <mrow></mrow> </mroot> <mtext> </mtext> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mo>−</mo> <mn>1</mn> </mrow> </math> </span> <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1819009499"> </o:OLEObject></xml><![endif]--></p><p>From <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1819009500"> </o:OLEObject></xml><![endif]--> <span contenteditable="false"> <math> <mrow> <mrow> <mo>(</mo> <mrow> <mi>i</mi> </mrow> <mo>)</mo> </mrow> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>c</mi> <mo>→</mo> </mover> <mo>=</mo> <mi>α</mi> <msup> <mrow> <mrow> <mo>|</mo> <mrow> <mover accent="true"> <mi>a</mi> <mo>→</mo> </mover> </mrow> <mo>|</mo> </mrow> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mi>β</mi> </mrow> </math> </span></p><p><span contenteditable="false"> <math> <mrow> <mn>3</mn> <mi>α</mi> <mo>−</mo> <mi>β</mi> <mo>=</mo> <mn>7</mn> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mrow> <mo>(</mo> <mrow> <mi>i</mi> <mi>i</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span> <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1030" DrawAspect="Content" ObjectID="_1819009501"> </o:OLEObject></xml><![endif]--></p><p><span contenteditable="false"> <math> <mrow> <mover accent="true"> <mi>b</mi> <mo>¯</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>c</mi> <mo>¯</mo> </mover> <mo>=</mo> <mi>α</mi> <mover accent="true"> <mi>b</mi> <mo>¯</mo> </mover> <mo>.</mo> <mover accent="true"> <mi>a</mi> <mo>¯</mo> </mover> <mo>+</mo> <mi>β</mi> <msup> <mrow> <mrow> <mo>|</mo> <mrow> <mover accent="true"> <mi>b</mi> <mo>→</mo> </mover> </mrow> <mo>|</mo> </mrow> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>⇒</mo> <mo>−</mo> <mi>α</mi> <mo>+</mo> <mn>5</mn> <mi>β</mi> <mo>=</mo> <mn>0</mn> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mrow> <mo>(</mo> <mrow> <mi>i</mi> <mi>i</mi> <mi>i</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span> <!-- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1031" DrawAspect="Content" ObjectID="_1819009502"> </o:OLEObject></xml><![endif]--></p><p>Solving<span contenteditable="false"> <math> <mrow> <mi>α</mi> <mo>=</mo> <mfrac> <mrow> <mn>5</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mtext> </mtext> <mtext> </mtext> <mtext> </mtext> <mi>β</mi> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> </math> </span></p><p><span contenteditable="false"> <math><mrow><mo>⇒</mo><mn>2</mn><msup><mrow><mrow><mo>|</mo><mrow><mover accent="true"><mi>a</mi><mo>→</mo></mover><mo>+</mo><mover accent="true"><mi>b</mi><mo>→</mo></mover><mo>+</mo><mover accent="true"><mi>c</mi><mo>→</mo></mover></mrow><mo>|</mo></mrow></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>7</mn><mn>5</mn></mrow></math> </span> </p><p> </p>
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers
Learn more about...
-
Maths Vector Algebra 2021 Exam
View Exam Details -
Maths NCERT Exemplar Solutions Class 11th Chapter Eleven 2025 Exam
View Exam Details
Share Your College Life Experience
Didn't find the answer you were looking for?
Search from Shiksha's 1 lakh+ Topics
Please select a topic from suggestions
or
Ask Current Students, Alumni & our Experts