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Use the vectorsSa-0+IC3 + 3 - 2k find the expression...

Question

Use the vectorsSa-0+IC3 + 3 - 2k find the expression

Use the vectors Sa-0+IC 3 + 3 - 2k find the expression



Answers

Use the given vectors u, $\mathbf{v}$, and $\mathbf{w}$ to find each expression. $$\mathbf{u}=2 \mathbf{i}-3 \mathbf{j}+\mathbf{k} \quad \mathbf{v}=-3 \mathbf{i}+3 \mathbf{j}+2 \mathbf{k} \quad \mathbf{w}=\mathbf{i}+\mathbf{j}+3 \mathbf{k}$$ $$ (3 \mathbf{u}) \times \mathbf{v} $$

We have 32. Okay and this we need to find out The Value of -3 V. Into w minus three V. Across the blue wing into Find it out. Basically we'll be finding out -3 and V cross W. Okay so minus three. I kept Jacob Jacob we're rewriting the coefficients of I J K. From vector V. Which is minus three. Three and two And W is 1 1 and three. So this is -3 and let us open it up bit plus my innocent place. So I kept nearly skipping first round first column There's a 3 1 23 My Jacob minus 31 23 and place Cap 31 mm. Okay. Okay cap it will be minus 31 and 31 -3. 1 and 3 1. Okay so this is -3. I kept three into 3 is nine. Okay -2 into one is 2. My name is Jacob -3-3 and -9 -2. Plus cake up -3 -3. So this is -3 seven A plus 11 J minus six K. Actually multiply with -3, this is -21. I kept 933 Jacob Plus 18 K cab, so they should be answered. Thank you.

We have from a number of 30. And this way to find the value of we cross for W. Okay so basically what we're going to find it for because foreign scholars so can be taken out for we cross W. So this will be four. I kept Jacob Jacob. So we have to write the coefficients of I J K from the Trevi which is minus three. Three. Okay minus 33 and duke. And coefficient by UK from the W 11 end three. So we'll be opening up this sort of plus minus plus. This is four. Okay, I kept will be skipping 1st and 2nd. 1st row. First column will be left with 312 and three castle german and 312 and three. Buy the ticket minus 31 two and three plus K cap minus 313 And what? Okay so this will be four. I kept three and 239 minus two and two and two minus Jacob three to minus three minus nine minus two plus K. Cap one into three minus three and minus three. Okay, so it will be four. It do seven a glass 11 j minus six K. So if you multiply with four it will be 28 I kept plus 44 Jacob minus 24 K cab. So they should be the answers. Thank you.

We have a # 43. And this we need to find a victor which is alternative. Both you and Yeah. Okay. You and I place G so U. Is equal to Um it has been given that you victory is to Y -3. J Plus K. two A -3. J. Let's scare. And let us suppose any vector A. Is being given AD I pledge A. I place J. There is no. Okay so let us right there. Okay. Okay. So victor which is all probably to both of these is a vector which will be getting by cross product. You cannot say I J. K coefficient of coefficients of I J K. And the U. S. To -3. Okay now we'll be opening it up less minus less. So I will be skipping first two and first column minus 31 10 minor J 2110 scare to win -3 and one. So this is I -3 and zero is 0 -1. My energy zero into two, zero into 2 is 0 -1. Let's scare one into two is two plus three, so this is minus I place J. That's five K. So this is the required victor. Thank you.

No we have to remember. 31. Okay. 31 in which we need to find the value of you. Mhm. You close to be. So since two is a scalar quantity so we'll be actually finding out. Two into you cross the so it is right to and I yeah okay so it is right. The coefficients of I j K in victor you this is too minus three two minus three and when and then v in minus three three and two. So this is like two and let us open it up plus minus plus. So I and minus 33 one and two minor J two minus three one and two. Let's kick up 2 -3 -3. and thanks so this is to like two in 2 -3 or 320 -3 -6 -3- Jacob four plus three. Let's kick up six minus nine. So this is due minus main a minus seven j minus three K. So this is -18. I can minus 14 Jacob -6. Get gap. They should be the answer. Thank you.


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