CrossProduct - Maple Help

geometry

 CrossProduct
 compute the cross product of two directed segments Calling Sequence CrossProduct(dseg1, dseg2) Parameters

 dseg1, dseg2 - two directed segment Description

 • The cross product $\mathrm{dseg1}X\mathrm{dseg2}$ can be interpret as the signed area of the parallelogram formed by the point $0,0$, dseg1, dseg2 and $\mathrm{dseg1}+\mathrm{dseg2}$.
 • Note that the tails of dseg1 and dseg2 must be the same.
 • The command with(geometry,CrossProduct) allows the use of the abbreviated form of this command. Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{point}\left(A,0,0\right),\mathrm{point}\left(B,1,1\right),\mathrm{point}\left(C,11,5\right):$
 > $\mathrm{dsegment}\left(\mathrm{dseg1},A,B\right):$$\mathrm{dsegment}\left(\mathrm{dseg2},A,C\right):$
 > $\mathrm{CrossProduct}\left(\mathrm{dseg1},\mathrm{dseg2}\right)$
 ${-6}$ (1)
 > $\mathrm{triangle}\left(T,\left[A,B,C\right]\right)$
 ${T}$ (2)
 > $\mathrm{area}\left(T\right)$
 ${3}$ (3)
{"ft_lang_label":"__label__en","ft_lang_prob":0.60068715,"math_prob":0.9999424,"size":786,"snap":"2021-31-2021-39","text_gpt3_token_len":250,"char_repetition_ratio":0.17007673,"word_repetition_ratio":0.0,"special_character_ratio":0.21882951,"punctuation_ratio":0.18181819,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9605788,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-24T06:33:52Z\",\"WARC-Record-ID\":\"<urn:uuid:65c4824c-de86-4970-9bbf-c2c96ecc037d>\",\"Content-Length\":\"159106\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0a3d2751-10a2-439a-b121-47ccda463fc3>\",\"WARC-Concurrent-To\":\"<urn:uuid:04aaaeec-b130-4d59-82ea-9699bb3b3cf8>\",\"WARC-IP-Address\":\"199.71.183.28\",\"WARC-Target-URI\":\"https://de.maplesoft.com/support/help/maple/view.aspx?path=geometry%2FCrossProduct\",\"WARC-Payload-Digest\":\"sha1:4XRHOIHZOXW3W4WKK5Y7AOQLR6BECSMA\",\"WARC-Block-Digest\":\"sha1:LNYQ22TPXRKID7OXZUQFIGVTO2HUGNSV\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780057504.60_warc_CC-MAIN-20210924050055-20210924080055-00200.warc.gz\"}"}